QEE1.The value of current "I" in the Figure shown below is____________.

1. 20 A
2. 100 A
3. 50 A
4. 80 A

Correct Ans: D

QEE2.Strain gauge is basically

1. Active device which converts mechanical displacement in to a change of resistance
2. Passive device which converts electrical displacement in to a change of resistance
3. Passive device which converts mechanical displacement in to a change of resistance
4. Active device which converts electrical displacement in to a change of resistance

Correct Ans: C

QEE3.In a lap wounded DC generator, if the number of poles is increase by a factor of 2, then the generated emf will

1. Increase by a factor of 2
2. Decrease by a factor of 2
3. Increase by a factor of 4
4. Remain same

Correct Ans: D

QEE4.The power factor of a single phase AC voltage controller feeding power to a pure resistive load is

1. 4 \(\times\) (per unit load power)^1/2
2. (per unit load power)^1/2
3. (per unit load power)/2
4. 2 \(\times\) (per unit load power)

Correct Ans: B

QEE5.For bolted fault, the positive sequence voltage at the point of fault location on the power system is zero for__________.

1. Double line fault
2. Single line to ground fault
3. Three phase fault
4. Double line to ground fault

Correct Ans: C

QEE6.The polar plot for a transfer function with pure transportation lag is___________.

1. A circle with centre at (-1,0) and radius=1 in the anti-clockwise direction
2. A semicircle with centre at (-1,0) and radius=1 in the clockwise direction
3. A semicircle with origin as the centre and radius = 1 in the anti-clockwise direction
4. A circle with origin as the centre and radius = 1 in the clockwise direction

Correct Ans: D

QEE7.A transmission line has 0.2 pu impedance on a base of 132 kV, 100 MVA. On a base of 220kV, 50MVA, it will have a pu impedance of

1. \(0.2 \times (\frac{132}{220})^2\)
2. \(0.1 \times (\frac{132}{220})^2\)
3. \(0.2 \times (\frac{220}{132})^2\)
4. \(0.1 \times (\frac{220}{132})^2\)

Correct Ans: B

QEE8.For the bus admittance matrix \(Y_{bus}\) of a \(4\)-bus system given in per unit, the buses having shunt elements are

\(Y_{bus} = j\begin{bmatrix}-7 & 2 & 3 & 0 \\2 & -12 & 4 & 2.5 \\3 & 4 & -9 & 2 \\0 & 2.5 & 2 & -4.5 \end{bmatrix}\)

1. 1 and 2
2. 1, 2 and 3
3. 1 and 4
4. 2 and 3

Correct Ans: A

QEE9.A transformer is said to be an isolation transformer,if its primary to secondary ratio is equal to__________.

1. infinity
2. 1
3. 0.5
4. 0

Correct Ans: B

QEE10.\(L^{-1} \lbrace log(\frac{1+s}{s}) \rbrace\) is equal to

1. \(\frac{1-e^{-t}}{t}\)
2. \(\frac{1-e^t}{t}\)
3. \(\frac{1+e^{-t}}{2t}\)
4. \(\frac{1+e^t}{t}\)

Correct Ans: A

QEE11.A system which has a unique relationship between its input x(t) and output y(t) is called_________.

1. time invariant system
2. non-invertible system
3. causal system
4. invertible system

Correct Ans: D

QEE12.If the supply frequency for an induction motor is increased by 5%, then the synchronous speed will________

1. decrease by 5%
2. increase by 10%
3. increase by 5%
4. decrease by 10%

Correct Ans: C

QEE13.A 50 W electric light bulb is connected to a 200 V supply. Determine (a) the current flowing in the bulb and (b) the resistance of the bulb.

1. 0.5 A and 400 \(\Omega\)
2. 0.25 A and 800 \(\Omega\)
3. 0.5 A and 800 \(\Omega\)
4. 0.25 A and 400 \(\Omega\)

Correct Ans: B

QEE14.If an inductor carries an initial current \(I_0\) before switching action (\(t=0_-\)), then at instant \(t=0_+\) it acts as__________.

1. an open circuit
2. a constant current source
3. a short circuit
4. a constant voltage source

Correct Ans: B

QEE15.In current source inverter (CSI), if the frequency of voltage input to CSI is 'f' Hz, then the frequency of the output voltage is_____________Hz.

1. f
2. f/2
3. 2f
4. 3f

Correct Ans: B

QEE16.The general solution \(f(x-z,x^2-zy)=0\) has its Lagrange's linear partial differential equation

1. \(z\frac{\partial z}{\partial x} + y\frac{\partial z}{\partial y}=z(x+y)\)
2. \(z\frac{\partial z}{\partial x} + (2x-y)\frac{\partial z}{\partial y}=z\)
3. \(z\frac{\partial z}{\partial x} + (2x+y)\frac{\partial z}{\partial y}=x-y\)
4. \(z\frac{\partial z}{\partial x} + (2x-y)\frac{\partial z}{\partial y}=x+y\)

Correct Ans: B

QEE17.The Jacobian \(\frac{\partial (u,v)}{\partial (x,y)}\) if \(u=\frac{y^2}{x}\), \(v=\frac{x^2}{y}\) is equal to

1. -3
2. \(\frac{1}{3}\)
3. \(-\frac{1}{3}\)
4. 3

Correct Ans: A

QEE18.If \(L_1\) and \(L_2\) are the self inductances of the two circuits and M is the mutual inductance between them, then the coupling coefficient k is_________.

1. \(K=M\sqrt{L_1^2+L_2^2}\)
2. \(K=M\sqrt\frac{L_2}{L_1}\)
3. \(K=\frac{M}{\sqrt{L_1L_2}}\)
4. \(K=M\sqrt{L_1L_2}\)

Correct Ans: C

QEE19.Given that \(w=f(z)=(6ax-2y)+i(bx+3y)\) is analytic everywhere only when a and b are respectively equal to

1. \(-\frac{1}{2},\:2\)
2. \(-\frac{1}{2},\:-2\)
3. \(\frac{1}{2},\:2\)
4. \(\frac{1}{2},\:-2\)

Correct Ans: C

QEE20.If there are 7 sources in a network out of which 3 are dependent and 4 are independent. For superposition principle___________ sources are considered.

1. 3
2. 7
3. 4
4. 0

Correct Ans: C

QEE21.How many flip flops are required to design MOD - 10 counter?

1. 2
2. 3
3. 5
4. 4

Correct Ans: D

QEE22.\(F_c\lbrace{e^{-ax}}\rbrace\:,a>0\) is equal to

1. \(\sqrt\frac{2}{\pi} \frac{2as}{a^2+s^2}\)
2. \(\sqrt\frac{2}{\pi} \frac{s}{a^2-s^2}\)
3. \(\sqrt\frac{2}{\pi} \frac{s}{a^2+s^2}\)
4. \(\sqrt\frac{2}{\pi} \frac{s}{1+a^2s^2}\)

Correct Ans: C

QEE23.The gross mechanical power developed by a DC motor is maximum when___________.

1. back emf Eb is equal to the applied voltage V
2. back emf Eb is inversely proportional to the applied voltage V
3. back emf Eb is equal to square of the applied voltage V
4. back emf Eb is equal to half the applied voltage V

Correct Ans: D

QEE24.In load flow studies, the quantities specified at a generator bus of a power system are___________.

1. Q and δ
2. V and δ
3. P and V
4. P and Q

Correct Ans: C

QEE25.In a Cartesian coordinate system, the three coordinate axes x, y and z are at_______to each other.

1. 120 degree
2. 45 degree
3. 90 degree
4. 0 degree

Correct Ans: C

QEE26.The full load slip of a synchronous motor is

1. 0.04
2. 0.06
3. 0
4. 0.02

Correct Ans: C

QEE27.A differential amplifier has an open circuit voltage gain of 100. The input signals are 3.35 V and 3.25 V. Determine the output voltage.

1. 5 V
2. 15 V
3. 10 V
4. 20 V

Correct Ans: C

QEE28.Consider an analog signal \(x_a(t) = 3\sin(50\pi t).\) What is the Nyquist rate for this signal?

1. 25 Hz
2. 100 Hz
3. 50 Hz
4. 75 Hz

Correct Ans: C

QEE29.Full subtractor can be realized by using

1. two half subtractors
2. two half subtractors and a NOT gate
3. two half subtractors and an AND gate
4. two half subtractors and a OR gate

Correct Ans: D

QEE30.For line-to-line fault, the value of zero sequence current is equal to _____________.

1. Fault Current \(\frac{I_f}{3}\)
2. Fault Current \(I_f\)
3. 3\(\times\) Fault Current \(I_f\)
4. Zero

Correct Ans: D

QEE31.A 4-pole, 900 rpm DC machine has a terminal voltage of 220 V and an induced voltage of 240 V at rated speed. The armature circuit resistance is 0.2 Ω. Find the armature current.

1. 200 A
2. 100 A
3. 150 A
4. 50 A

Correct Ans: B

QEE32.In the circuit diagram of a Schering bridge shown in Figure, at balance condition, the unknown capacitance \( C_u \) and its equivalent series resistance \( R_u \) are given as_________.

1. \( C_u = \frac{R_2}{C_1} R1, R_u = \frac{C_1}{R_2} C3 \)
2. \( C_u = \frac{R_2}{C_3} R_1, R_u = R_2 \frac{C_3}{C_1} \)
3. \( C_u = \frac{C_1}{C_3}, R_u = \frac{R_2}{R_1} \)
4. \( C_u = C_3 \frac{R_1}{R_2}, R_u = R_2 \frac{C_1}{C_3} \)

Correct Ans: D

QEE33.Ampere's circuital law in magnetism is analogous to_______________in electrostatics.

1. Faraday's law
2. Coulomb's law
3. Gauss's law
4. Biot-Savart's law

Correct Ans: C

QEE34.A 3-phase, 50 Hz, 6 pole induction motor runs at 960 rpm at full load. The slip 's' and frequency of rotor 'fr' are______and_______ respectively.

1. 4%, 20 Hz
2. 2%, 100 Hz
3. 3%, 50 Hz
4. 4%, 2 Hz

Correct Ans: D

QEE35.The sum of eigenvalues of matrix \(-A^{-1}\) where \(A=\begin{bmatrix}\frac{1}{2} & 1 & 0 \\0 & -2 & 3 \\ 0 & 0 & -1 \end{bmatrix}\), is equal to

1. \(\frac{1}{2}\)
2. \(-\frac{1}{2}\)
3. \(-\frac{3}{2}\)
4. \(\frac{3}{2}\)

Correct Ans: B

QEE36.In a step-up chopper circuit, if \(V_s\) is the source voltage and \(\alpha\) is duty cycle, then the output voltage is

1. \(V_s /(1 +\alpha)\)
2. \(V_s (1 +\alpha)\)
3. \(V_s (1 - \alpha)\)
4. \(V_s /(1 - \alpha)\)

Correct Ans: D

QEE37.The envelope of a family of straight lines \(\frac{x}{a}+\frac{ay}{c^2}=1\) where "a" being parameter, is of the form

1. \(x^2=4cy\)
2. \(x^2+y^2=4c^2\)
3. \(4xy=c^2\)
4. \(xy=4c^2\)

Correct Ans: C

QEE38.A second order IIR filter has been realized by using the transposed method. How many adders have been used?

1. 3 (all 2-inputs)
2. 3 (two with 2-inputs & one with 3-inputs)
3. 3 (all 3-inputs)
4. 3 (one with 2-inputs & two with 3-inputs)

Correct Ans: B

QEE39.An 800 kV transmission line has a maximum power transfer capacity of P. If it is operated at 400 kV with the series reactance unchanged, the new maximum power transfer capacity is approximately__________.

1. P/4
2. P/2
3. 4P
4. 2P

Correct Ans: A

QEE40.For the block diagram shown in Figure, the transfer function \(\frac{C(s)}{R(s)}\) is__________.

1. \({G_1}{G_2} - {G_2} - 1\)
2. \({G_1}{G_2} + {G_2} + 1\)
3. \(\frac{{G_1}{G_2}} {(1-{G_1}{G_2})}\)
4. \(\frac{{G_1}{G_2}} {(1+{G_1}{G_2})}\)

Correct Ans: A

QEE41.A d.c. source has an open-circuit voltage of 30 V and an internal resistance of 1.5 \(\Omega\). The maximum power dissipated across the load is________.

1. 50 W
2. 100W
3. 150 W
4. 200 W

Correct Ans: C

QEE42.The complex Poynting Vector for a plane wave is given by

1. \(\bar{P} = \bar{E} \cdot \bar{H}\)
2. \(\bar{P} = \frac{1}{2} \bar{E} \times \bar{H^{*}}\)
3. \(\bar{P} = \bar{E} \times \bar{H}\)
4. \(\bar{P} = \bar{E} \times \bar{H^{*}}\)

Correct Ans: B

QEE43.Ohm's law analogy for magnetic circuit is____________.

1. MMF = Flux / Reluctance
2. Flux = 1 + (Reluctance / MMF)
3. Reluctance = MMF \(\times\) Flux
4. MMF = Flux \(\times\) Reluctance

Correct Ans: D

QEE44.Two voltmeters A and B having resistance 4000 Ω and 6000 Ω respectively are jointed in series across 200 V supply. The voltage across the two voltmeters will be___________.

1. \( V_A = 200 V \: and \: V_B = 200 V \)
2. \( V_A = 80 V \: and \: V_B = 120 V \)
3. \( V_A = 120 V \: and \: V_B = 120 V \)
4. \( V_A = 80 V \: and \: V_B = 80 V \)

Correct Ans: B

QEE45.A system described by the transfer function \(G(s) = \frac{1}{(s^3+\alpha s^2+\beta s+3)}\) is stable. The constraints on '\(\alpha\:\)' and '\(\beta\:\)' are

1. \(\alpha > 0 \:and\: \alpha \beta < 3 \)
2. \(\alpha > 0 \:and\: \alpha \beta > 3 \)
3. \(\alpha < 0 \:and\: \alpha \beta > 3 \)
4. \(\alpha < 0 \:and\: \alpha \beta < 3 \)

Correct Ans: B

QEE46.When the firing angle \(\alpha\) of a single phase fully controlled rectifier feeding constant dc current into the load is 30°, the displacement factor of the rectifier is

1. 0.5
2. 0
3. 1
4. 0.866

Correct Ans: D

QEE47.If \(f_1\) and \(f_2\) are half-power frequencies, such that \(f_2> f_1\), then the bandwidth B =__________.

1. \(f_2- f_1\)
2. \(\frac{f_1}{f_2}\)
3. \(f_2 + f_1\)
4. \(\frac{f_2}{f_1}\)

Correct Ans: A

QEE48.The Fourier coefficient \(b_1\) for the function \(f(x) = x \sin x, 0 < x < 2\pi\) is given by

1. \(\frac{\pi}{2}\)
2. \(\frac{1}{\pi}\)
3. \(\pi\)
4. \(\frac{2}{\pi}\)

Correct Ans: C

QEE49.Two wattmeters connected to measure the power in a balanced three phase load reads 1000 W and 250 W respectively. The later reading has been taken after reversing the connection of current coil. The total power taken by
the load is______________.

1. 1000 W
2. 250 W
3. 750 W
4. 500 W

Correct Ans: C

QEE50.Three identical resistances, each of 15 \(\Omega\), are connected in delta across 400 V, 3-phase supply. What value of resistance in each leg of balanced star-connected load would take the same line current across the same supply ?

1. 15 \(\Omega\)
2. 45 \(\Omega\)
3. 5 \(\Omega\)
4. 30 \(\Omega\)

Correct Ans: C

QEE51.Which of the following electrical circuits represents the lag compensator network ?

1. 
2. 
3. 
4. 

Correct Ans: A

QEE52.For starting of an induction motor, star/delta starting can be considered equivalent to an auto transformer starter with the ratio of_________.

1. 1
2. 0.25
3. 0.577
4. 0.75

Correct Ans: C

QEE53.If '\(\alpha\)' is the forward current gain and '\(\beta \)' is the current gain, then in BJT,__________.

1. \(\alpha = \frac{\beta}{\beta \:-\: 1} \)
2. \(\beta = \frac{\alpha}{\alpha \:-\:1 } \)
3. \(\alpha = \frac{\beta}{1 \:-\: \beta} \)
4. \(\beta = \frac{\alpha}{1 \:+\: \alpha} \)

Correct Ans: B

QEE54.An electron is travelling horizontally towards east. A magnetic field in vertically downward direction exerts a force on the electron along_________.

1. East
2. North
3. West
4. South

Correct Ans: D

QEE55.The system model described by the state equations


\(\begin{bmatrix}\dot {x_1} \\ \dot {x_2} \end{bmatrix} =\begin{bmatrix}-3 & -1 \\ 2 & 0 \end{bmatrix} \begin{bmatrix} {x_1} \\ {x_2} \end{bmatrix} + \begin{bmatrix} 1 \\ 0 \end{bmatrix} u \quad and\)


\(y=\begin{bmatrix} 1 & 0 \end{bmatrix} \begin{bmatrix} {x_1} \\ {x_2} \end{bmatrix} + \begin{bmatrix} 1 \\ 0 \end{bmatrix} u \quad \) is

1. Observable but not Controllable
2. Controllable and Observable
3. neither Controllable nor Observable
4. Controllable but not Observable

Correct Ans: B

QEE56.The solution of the differential equation \(x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}=0,\: y=0\:and\:\frac{dy}{dx}=1\:when\: x=1\) is

1. \(y=5x+\log{x}\)
2. \(y=5x-5+\log{x}\)
3. \(y=\log{x}\)
4. \(y=5+\log{x}\)

Correct Ans: C

QEE57.For a transformer, if the full load copper losses are 'A' and iron losses are 'B', then the output kVA corresponding to maximum efficiency is given by_________.

1. Full load × \( \sqrt{\frac{B}{A}}\)
2. Full load × ( \(\frac{B}{A}\) )
3. Full load × ( \(\frac{A}{B}\) )
4. Full load × \( \sqrt{\frac{A}{B}}\)

Correct Ans: A

QEE58.If two capacitors of capacitances 3 \(\mu\)F and 6 \(\mu\)F are connected in series, then the total capacitance is________.

1. 18 \(\mu\)F
2. 9 \(\mu\)F
3. 3 \(\mu\)F
4. 2 \(\mu\)F

Correct Ans: D

QEE59.For the circuit shown in Figure, taking open as '0' and closed as '1', the output expression Y is given as

1. A(B+C+D)
2. A(BC+D)
3. A+(B+C)D
4. A+B+C+D

Correct Ans: B

QEE60.\(\int_{-2}^{1}\int_{x^2}^{2-x} dy\:dx\) is equal to

1. \(-\frac{3}{2}\)
2. \(\frac{5}{2}\)
3. \(\frac{9}{2}\)
4. \(-\frac{7}{2}\)

Correct Ans: C

QGL1.કયું વિરુદ્ધાર્થી જોડકું સાચું નથી તે જણાવો.

1. લાધવ X ગૌરવ
2. ઉગ્ર X શાંત
3. જન્નત X જહન્નમ
4. રચનાત્મક X ખંડનાત્મક

Correct Ans: A

QGL2.જોડી વચ્ચે ચોક્કસ સંબંધને અનુરૂપ ખાલી જગ્યામાં બંધબેસતો સંબંધ દર્શાવો. ભાઇ-ભાભી : સાળો - ________

1. સાળી
2. સાળાવેલી
3. બનેવી
4. બહેન

Correct Ans: B

QGL3.હરીશને બોલતા કોઈનાથી રોકાઈ નહિ. આ વાક્યને કર્તરિમાં ફેરવો.

1. કોઈએ હરીશને બોલતા રોક્યો નહિ.
2. હરીશ કોઈનાથી રોકાયા વિના બોલતો રહ્યો.
3. હરીશને બોલતા કોઈનાથી રોકી શકાયો નહિ.
4. હરીશ કોઈના વડે બોલતો રોકાયો નહિ.

Correct Ans: A

QGL4.ઈચ્છા પ્રમાણે ફળ આપતું વૃક્ષ- એક શબ્દમાં જણાવો.

1. આમ્ર વૃક્ષ
2. બોધિવૃક્ષ
3. કલ્પવૃક્ષ
4. કદમ્બવૃક્ષ

Correct Ans: C

QGL5.દુર્યોધનને કૃતવર્મા પાસે કવચ કપાવ્યું. આ વાક્યરચનાનો પ્રકાર દર્શાવો.

1. પ્રેરક
2. કર્મણી
3. આજ્ઞાર્થ
4. ભાવે

Correct Ans: A

QGL6.તળપદી શબ્દ 'વાલેશરી' નો અર્થ શું થાય ?

1. વાલોળ
2. પૈસાદાર
3. વહેલા
4. હિતેશ્રી

Correct Ans: D

QGL7.________બદલી નો હુકમ થયો છે _________ રમણિક ની ઊંઘ હરામ થઇ ગઇ છે. આ વાક્યમાં કયું સંયોજક યોગ્ય લાગશે ?

1. જ્યારથી.... ત્યારથી
2. જેમ....તેમ
3. જ્યારે.... ત્યારે
4. જો....તો

Correct Ans: A

QGL8.આ વાક્યમાં ભૂલવાળો ભાગ જણાવો.
જોરાવરસિંહ નામનો એક ખૂંખાર બહાર વટિયો થઈ ગયો.

1. બહાર વટિયો
2. જોરાવરસિંહ નામનો
3. થઈ ગયો
4. એક ખૂંખાર

Correct Ans: A

QGL9.વૈયક્તિક X ________. ખાલી જગ્યામાં વિરોધી શબ્દ લખો.

1. વયસ્ક
2. વ્યક્તિગત
3. સામુદાયિક
4. નૈતિક

Correct Ans: C

QGL10.અહીં આપેલા વાક્ય માં કયો સુધારો કરશો તે વિકલ્પ જણાવો ?

ભૂમિ ભણવામાં લક્ષ્ય આપતી નથી.

1. ભુમિ
2. કોઈ સુધારો નહીં
3. ભૂમિ
4. લક્ષ

Correct Ans: D

QGK1.Who was sworn in as the \(47^{th}\) Chief Justice of India recently ?

1. Justice Sharad Arvind Bobde
2. Justice Kurian Joseph
3. Justice Madan Lokur
4. Justice Dipak Misra

Correct Ans: A

QGK2.What is the full form of the pesticide DDT ?

1. Dichloro Diphenyl Tri-chloromethane
2. Dichloro Diphenyl Tri-chloroethane
3. Diamino Diphenyl Tri-chloroethane
4. Dibromo Diphenyl Tri-chloroethane

Correct Ans: B

QGK3.The world second largest lake, Lake Superior is located in which continent ?

1. North America
2. Europe
3. Africa
4. Asia

Correct Ans: A

QGK4.In December 2019, with which country India signed industrial security agreement for transfer of defence technology ?

1. Bangladesh
2. United States of America
3. England
4. China

Correct Ans: B

QGK5.GMT is an abbreviation of _____

1. Greenwich Mean Time
2. Greenwich Management Time
3. Greenwich Meridian Time
4. Greenwich Measurement Time

Correct Ans: A

QGK6.Which among the following Indian states shares its border with Pakistan ?

1. Punjab
2. Himachal Pradesh
3. Haryana
4. Uttarakhand

Correct Ans: A

QGK7.The Congress passed the resolution on purna swaraj in its session held at which place ?

1. Calcutta
2. Lahore
3. Allahabad
4. Madras

Correct Ans: B

QGK8.Who has been awarded, the International Children's Peace Prize for the year 2019 for her global campaign called 'School Strike' ?

1. Neha Gupta
2. Greta Thunberg
3. Kehkashan Basu
4. Malala Yousafzai

Correct Ans: B

QGK9.What is the base year for the Index of Industrial Production in India in January 2020 ?

1. 2011-12
2. 2018-19
3. 1991-92
4. 2004-05

Correct Ans: A

QGK10.Who is the first Indian woman to win an Olympic medal ?

1. P. V. Sindhu
2. Sakshi Malik
3. P. T. Usha
4. Karnam Malleswari

Correct Ans: D

QEK1.Replace the underlined phrase grammatically and conceptually with the help of the given options. If the given sentence is correct then select the option'The given sentence is correct'.

If you enlarge your laptop screen, \(\underline{\smash{it\: is\: much\: easy\: to\: seeing \:the\: photos}}\) than if you keep then smaller

1. it is most easier to see the photos
2. The given sentence is correct
3. it is much easier for see the photos
4. it is much easier to see the photos

Correct Ans: D

QEK2.Find the word which is correctly spelt from the given options.

1. Intermitent
2. Malpractice
3. Obligatary
4. Recomended

Correct Ans: B

QEK3.Fill in the blanks with suitable Preposition from the given alternatives.

Jean is going to depart ________ 7 p.m From our place.

1. on
2. in
3. over
4. at

Correct Ans: D

QEK4.Fill in the blanks with suitable Preposition from the given alternatives.

Today is _________third day of our annual meeting.

1. No article
2. an
3. the
4. a

Correct Ans: C

QEK5.Rearrange the following to form a meaningful sentence and find the most logical order from the given options.

P: is intended to give our readers an idea of the onerousness

Q: the special Supplement which we are issuing today

R: on which the people of India are setting out

S: as well as the grandeur of the great adventure

1. SPQR
2. RQSP
3. RQPS
4. QPSR

Correct Ans: D

QEK6.Choose the word which expresses nearly the \(\mathbf{opposite}\) meaning of the given word "FORBIDDEN".

1. Allowed
2. Closed
3. Refused
4. Banned

Correct Ans: A

QEK7.Find the word which is correctly spelt from the given options.

1. Continuance
2. Quadilateral
3. Wearysome
4. Affluant

Correct Ans: A

QEK8.Choose the best option from the given alternatives which can be substituted for the given word/sentence.

Completing a period of hundred years.

1. protocol
2. Centennial
3. Flounder
4. Universal

Correct Ans: B

QEK9.Choose the word which best expresses the similar meaning of the given word "REPLETE".

1. Empty
2. Charged
3. Unifilled
4. Enlarge

Correct Ans: B

QEK10.In the following question, one part of the sentence may have an error. Find out which part of the sentence has an error and select the option corresponding to it. If the sentence contains no error, Select 'No error' option.

(Avoid punctuation errors)

(A) Either Ram or I / (B) am ready to / (C) completes this task / (D) NO ERROR

1. C
2. A
3. D
4. B

Correct Ans: A

QCK1.Identify which is not the characteristic of Static RAM ?

1. Long life
2. Faster
3. Used as cache memory
4. Needs to be refreshed continuously

Correct Ans: D

QCK2.When one application layer protocol wants to communicate with a another application layer, it forwards its data to _________.

1. transport layer
2. physical layer
3. network layer
4. application layer

Correct Ans: A

QCK3.identify whether the following statements are True / False.


Statement A: Rogue security software is malicious software that mislead users to believe there is a computer virus installed on their computer or that their security measures are not up to date.


Statement B: When adware is downloaded without consent, it is considered malicious.

1. Both Statement A & Statement B are True
2. Statement A is True and Statement B is False
3. Both Statement A & Statement B are False
4. Statement A is False and Statement B is True

Correct Ans: A

QCK4.________ is performed by one machine and its internet connection by flooding a website with packets and making it impossible for legitimate users to access the content of flooded website.

1. Pishing
2. Dos attack
3. Rootkit
4. SQL Injection attack

Correct Ans: B

QCK5.Expand UNIVAC

1. Ultimate Native Indian Automatic Calculator
2. Ultimate Native Indian Automatic Computer
3. Universal Automatic Computing Device
4. Universal Automatic Computer

Correct Ans: D

QCK6.Mention the keyboard shortcut for Superscript in Ms Word

1. Ctrl + Spacebar
2. Control + Equal Sign
3. Ctrl + Shift + Plus Sign
4. Ctrl + End

Correct Ans: C

QCK7.TCP and UDP are two ________ layer protocols that provide a different set of services to the network layer.

1. network
2. data link
3. physical
4. transport

Correct Ans: D

QCK8.Identify whether the following statements are True / False with respect to Batch Processing in OS:

Statement A: The OS defines a job which has predefined sequence of commands, programs and data as a single unit.

Statement B: Jobs are processed not in the order of submission, i.e., last come first served fashion.

1. Both Statement A and Statement B are True
2. Statement A is True and Statement B is False
3. Both Statement A and Statement B are False
4. Statement A is False and Statement B is True

Correct Ans: B

QCK9.Which type of OS is referred as loosely coupled systems ?

1. Distributed OS
2. Time-Sharing OS
3. Batch OS
4. Networking OS

Correct Ans: A

QCK10.What will the function key F10 do when pressed in Ms Excel ?

1. Turns extend mode on or off.
2. Creates a chart of the data in the current range in a separate Chart sheet.
3. Turns key tips on or off.
4. Calculates all worksheets in all open workbooks.

Correct Ans: C

Q1.In 1930, which date was unofficially as the first Independence Day of India?

1. \(15^{th}\) August
2. \(26^{th}\) November
3. \(25^{th}\) December
4. \(26^{th}\) January

Correct Ans: D

Q2.The pariyar National Park is located in which state?

1. Odisha
2. Kerala
3. Maharashtra
4. Telangana

Correct Ans: B

Q3.Which type of economy,India has adopted since independence?

1. Mixed Economy
2. Capitalist Economy
3. Socialist Economy
4. Communist Economy

Correct Ans: A

Q4.In Which month, the autumn equinox happens in the northern hemisphere?

1. March
2. June
3. September
4. December

Correct Ans: C

Q5.The USMCA agreement was signed to replace which of the following free trade agreement?

1. Asia-Pacific free Trade Agreement
2. ASEAN Free Trade Agreement
3. African Continental Free Trade Agreement
4. North American Free Trade Agreement

Correct Ans: D

Q6.Who is the first Lieutenant Governer of the union territory of jammu and Kashmir?

1. Ram Nath Kovind
2. Girish Chandra Murmu
3. Karan Singh
4. Satya Pal Malik

Correct Ans: B

Q7.India signed the Kartarpur Sahib Corridor agreement with which country?

1. Pakistan
2. Myanmar
3. Bhutan
4. Bangladesh

Correct Ans: A

Q8.Which Indian player is popularly known as 'Pocket Dynamo'?

1. PV Sindhu
2. PT Usha
3. KD Jadhav
4. Abhinav Bindra

Correct Ans: C

Q9.The GPS refers to _______.

1. Giant Positioning system
2. Global positioning System
3. Global positioning Satellites
4. Giant Positioning Satellite

Correct Ans: B

Q10.What is the full form of IUCN?

1. International Union for Conventions on Nature
2. Institute for Universal Conventions of Nature
3. Institute for Universal Conservation of Nature
4. International Union for Conservation of Nature

Correct Ans: D

Q11.Fill in the blanks with suitable Article from the given alternatives.
Sony is _______most expensive brand I've ever heard of in my life.

1. a
2. an
3. the
4. No article

Correct Ans: C

Q12.Fill in the blanks with suitable preposition from the given alternatives.
She likes to drink tea______the morning.

1. on
2. in
3. at
4. over

Correct Ans: B

Q13.In the following question, one part of sentence may have an error. Find out which part of the sentence has an error and select the option corresponding to it. If sentence contains no error. Select " No error" option. (Avoid punctuation errors)

(A) Raju wastes not / (B) only money / (C) but also his life / (D) NO ERROR

1. A
2. B
3. C
4. D

Correct Ans: D

Q14.choose the word which best expresses the similar meaning of the given words "DISDAIN".

1. Hate
2. Admiration
3. Approval
4. Sympathy

Correct Ans: A

Q15.Choose the word which expresses nearly the opposite meaning of the given word" ABJURE"

1. Recant
2. Renounce
3. Allow
4. Retract

Correct Ans: C

Q16.Choose the best option from the given alternatives which can be substituted for the given word/sentence.
Accidental good fortune

1. Accomplice
2. Fluke
3. Brood
4. Shell

Correct Ans: B

Q17.Find the word which is correctly spelt from the given options.

1. Carefullness
2. Laboriuous
3. Hortikulture
4. Implicit

Correct Ans: D

Q18.Find the word which is correctly spelt from the given option.

1. Fortunately
2. Genaralization
3. Equiliateral
4. Witnesed

Correct Ans: A

Q19.Replace the underlined phrase grammatically and conceptually with the help of the given options.If the given sentence is correct then select the option ' The given sentence is correct'.
I \(\underline{\mathbf{refuse\: to\: watch\: news \:in\: television\: anymore}}\) because of how broadcasters amplify bad news in a way that causes unnecessary problems

1. refuse to watching news in television anymore
2. refused to watch news in television nomore
3. refuse to watch news in television anymore
4. The given sentence is correct

Correct Ans: C

Q20.Rearrange the following to form a meaningful sentence and find the most logical order from the given options.
P: Kobe Bryant killed along with his 13-year-old daughter Gianna
Q: and other in a helicopter crash
R: the news of retired basketball superstar
S: has shocked the world

1. RPSQ
2. RPQS
3. PQRS
4. PQSR

Correct Ans: B

Q21.If the matrix \(A=\begin{bmatrix}3 & -1 \\-1 & 5 \end{bmatrix}\), then the expression for \(A^2\) in terms of \(A\) and \(I\) is given by

1. \(8A+14I\)
2. \(-8A-14I\)
3. \(8A-14I\)
4. \(-8A+14I\)

Correct Ans: C

Q22.The envelope of a family of curve \((x-\alpha)^2+y^2=4\alpha\), \(\alpha\) being a parameter, is given by

1. \(y^2=x+4\)
2. \(y^2=4x+1\)
3. \(y^2=4x-1\)
4. \(y^2=4(x+1)\)

Correct Ans: D

Q23.The Jacobian of the function \(\frac{\partial (u,v)}{\partial (x,y)}\) if \(u=x-\frac{y}{2}\), \(v=y-\frac{x}{2}\) is given by

1. \(\frac{1}{4}\)
2. \(\frac{xy}{4}\)
3. \(\frac{3xy}{4}\)
4. \(\frac{3}{4}\)

Correct Ans: D

Q24.The value of the double integral \(\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}} \sin(\theta +\varphi)\:d\theta\:d\varphi\) is equal to

1. \(2\pi\)
2. -2
3. 2
4. \(\frac{\pi}{2}\)

Correct Ans: C

Q25.The particular integral of the differential equation \(\frac{d^2y}{dt^2}+4\frac{dy}{dt}+5y=e^{-2t}\sin t\) is given by

1. \(-\frac{e^{-2t}\sin t}{2}\)
2. \(-\frac{e^{-2t}\:t\cos t}{2}\)
3. \(\frac{e^{-2t}\:t\sin t}{2}\)
4. \(\frac{e^{-2t}\sin t}{2}\)

Correct Ans: B

Q26.The image of the circle \(x^2+y^2-6x=0\) under the transform \(w=\frac{1}{z}\) is given by

1. \(6u=1\)
2. \(u=6\)
3. \(v=6u\)
4. \(v^2=6u\)

Correct Ans: A

Q27.\(L^{-1}\lbrace \frac{1}{\sqrt {S+3}}\rbrace\) is equal to

1. \(\frac{e^{-3t}}{\sqrt t}\)
2. \(\frac{e^{-3t}}{\sqrt {\pi t}}\)
3. \(\frac{e^{3t}}{t^2}\)
4. \(\frac{e^{3t}}{\pi t}\)

Correct Ans: B

Q28.The root mean square value of the Fourier series \(f(x) = 3 \sin 2x + 4 \cos 2x\) in the interval \(0 \lt x \lt 2\pi\) is

1. \(\frac{25}{2}\)
2. \(\frac{5}{\sqrt{2}}\)
3. \(\frac{25}{4}\)
4. \(\frac{5}{2}\)

Correct Ans: B

Q29.In the interval \(0 < x <\pi\:,\) the finite Fourier Cosine Transform \( F_c \left \{ \left (1- \frac{x}{\pi} \right )^2 \right \} \) is equal to

1. \(\frac{2}{\pi\:n^2}\)
2. \(\frac{2}{\sqrt{\pi\:n}}\)
3. \(\frac{\sqrt{2}}{\pi\:n}\)
4. \(\sqrt{\frac{2}{\pi}}\frac{1}{n}\)

Correct Ans: C

Q30.The partial differential equation for the general solution \(z=f(x+t)+g(2x-t)\) where \(f\) and \(g\) are arbitrary functions, is of the form

1. \(\frac{\partial^2 z}{\partial x^2}+\frac{\partial z}{\partial t}-2\frac{\partial^2 z}{\partial t^2}=0\)
2. \(\frac{\partial z}{\partial x}+\frac{\partial z}{\partial y}=\frac{\partial^2 z}{\partial x \partial t}\)
3. \(\frac{\partial^2 z}{\partial x^2}+\frac{\partial^2 z}{\partial x \partial t}-2\frac{\partial^2 z}{\partial t^2}=0\)
4. \(\frac{\partial^2 z}{\partial x^2}+2\frac{\partial^2 z}{\partial x \partial t}+\frac{\partial^2 z}{\partial t^2}=0\)

Correct Ans: A

Q31.The hot resistance of a 240 V filament lamp is 800 \(\Omega\). Find the current taken by the lamp and its power rating.

1. 0.1 A and 20 W
2. 0.2 A and 64 W
3. 0.3 A and 72 W
4. 0.5 A and 95 W

Correct Ans: C

Q32.The value of current 'I3' in the Figure shown below is ___________.<br>

1. 1 A
2. 2 A
3. 3 A
4. 4 A

Correct Ans: C

Q33.A magnetic circuit carries a flux \(\phi_i\) (total flux) in the iron part and a flux \(\phi_g\) (useful flux) in the air gap, then the leakage co-efficient is

1. \(\frac{\phi_i}{\phi_g}\)
2. \(\phi_i\times\phi_g\)
3. \(\phi_i-\phi_g\)
4. \(\phi_i+\phi_g\)

Correct Ans: A

Q34.If the two wattmeter readings are equal and positive in the measurement of 3-phase power by two wattmeter method, then the power factor of the circuit is__________.

1. 0
2. 0.5
3. 0.8
4. 1

Correct Ans: D

Q35.In a two wattmeter method which is used to measure the power in a 3-phase balanced system, one meter reads 40kW and the other zero. What is the power factor of the load ?

1. 0
2. 0.5
3. 0.866
4. 1

Correct Ans: B

Q36.In Thevenin's theorem, in order to find the thevenin's equivalent impedance\(Z_{th}\)____________.

1. all independent voltage sources and current sources are short circuited
2. all independent voltage sources are short circuited and all independent current sources are open circuited
3. all independent voltage sources are open circuited and all independent current sources are short circuited
4. all independent voltage sources and current sources are open circuited

Correct Ans: B

Q37.When the power transferred to the load is maximum, the efficiency of the power transfer is__________.

1. 25%
2. 50%
3. 75%
4. 100%

Correct Ans: B

Q38.Two coils connected in series have self inductance of 40 mH and 10 mH respectively. The total inductance of the circuit is found to be 60 mH. The mutual inductance between the two coils is________.

1. 5 mH
2. 10 mH
3. 25 mH
4. 50 mH

Correct Ans: A

Q39.In series RLC resonance circuit, impedance is_________and the current is__________.

1. minimum, maximum
2. maximum, minimum
3. minimum, minimum
4. maximum, maximum

Correct Ans: A

Q40.The transient current in a series RLC circuit is oscillatory when__________.

1. \(R=2\sqrt \frac{L}{C}\)
2. \(R<2\sqrt \frac{L}{C}\)
3. \(R>2\sqrt \frac{L}{C}\)
4. \(R=0\)
   

Correct Ans: B

Q41.In the Cylindrical coordinate system, 'z' ranges between____________.

1. \(- \infty\) and \(\infty\)
2. 0 and 1
3. \(- \infty\) and 1
4. 0 and \(- \infty\)

Correct Ans: A

Q42.If a strong magnetic field is applied on a stationary electron, then electron will ___________.

1. Remain stationary
2. Move in an opposite direction
3. Move in the direction of the field
4. Start spinning

Correct Ans: A

Q43.What capacitance must be connected in series with a 20 \(\mu F\) capacitor for the equivalent capacitance to be 12 \(\mu F\) ?

1. 8 \(\mu F\)
2. 20 \(\mu F\)
3. 30 \(\mu F\)
4. 32 \(\mu F\)

Correct Ans: C

Q44.The point form of Ampere's circuital law is given by

1. Curl(H) = J
2. Curl(D) = J
3. Curl(B) = I
4. Curl(V) = I

Correct Ans: A

Q45.The velocity of wave propagation in a conductor with frequency \(6 \times 10^8 \:rad/sec\) and phase constant of \( 3 \times 10^8 \:units \) is__________.

1. 9
2. 6
3. 3
4. 2

Correct Ans: D

Q46.In DC generator, the magnetic neutral axis (MNA) makes an angle of___________with the flux passing through the armature.

1. 0 degree
2. 90 degree
3. 120 degree
4. 150 degree

Correct Ans: B

Q47.A shunt generator delivers 195 A at a terminal voltage of 250 V. The armature resistance and shunt field resistance are 0.02 Ω and 50 Ω respectively. The iron and friction losses equal 950 W. What is the total copper loss?

1. 475 W
2. 950 W
3. 1250 W
4. 2050 W

Correct Ans: D

Q48.If the applied voltage to a DC motor is 220 V, then the back emf for maximum power developed is

1. 110 V
2. 220 V
3. 440 V
4. 660 V

Correct Ans: A

Q49.The frequency of the supply to the stator of an 8-pole induction motor is 50Hz and the rotor frequency is 3Hz. The slip is_________.

1. 0
2. 0.02
3. 0.04
4. 0.06

Correct Ans: D

Q50.A three-phase 2-pole motor is to have a synchronous speed of 6000 rev/min. Calculate the frequency of the supply voltage.

1. 25 Hz
2. 50 Hz
3. 60 Hz
4. 100 Hz

Correct Ans: D

Q51.A 220 V dc motor has an armature resistance of 1 Ω. If the full load armature current is 20 A, then the induced emf is_________.

1. 180V
2. 200 V
3. 220 V
4. 240V

Correct Ans: B

Q52.Determine the optimum value of load resistance for maximum power transfer if the load is connected to an amplifier of output resistance 150 Ω through a transformer with a ratio of number of turns in the primary winding to the number of turns in the secondary winding is equal to 5.

1. 6 Ω
2. 12 Ω
3. 30 Ω
4. 150 Ω

Correct Ans: A

Q53.If the full-load copper loss of a transformer is 800 W, then the copper loss at half-load is__________.

1. 100 W
2. 200 W
3. 400 W
4. 800 W

Correct Ans: B

Q54.When the rotor of a 3-phase induction motor is completely blocked, the slip is equal to____________.

1. 0
2. 0.3
3. 0.5
4. 1

Correct Ans: D

Q55.A power MOSFET has three terminals called_________.

1. source, drain and gate
2. emitter, base and collector
3. base, source and drain
4. gate, emitter and collector

Correct Ans: A

Q56.For continuous conduction in a single phase semiconverter, each SCR conducts for___________.

1. \(\pi\)
2. \(\alpha\)
3. \(\pi - \alpha \)
4. \(\pi + \alpha \)

Correct Ans: C

Q57.A step-up chopper is fed from a 220 V dc source to deliver a load voltage of 660 V. If the non conduction time of the thyristor is 50 \(\mu s\), then the required pulse width of the output voltage is_________.

1. 50 \(\mu s\)
2. 100 \(\mu s\)
3. 200 \(\mu s\)
4. 400 \(\mu s\)

Correct Ans: B

Q58.A 3 phase voltage source inverter with ideal devices operating in 180 degree conduction mode is feeding a balanced star-connected resistive load. If the input dc voltage is \(V_{dc}\) ,then the peak fundamental component of the phase voltage is___________,

1. \(\pi V_{dc}\)
2. \(2\pi V_{dc}\)
3. \(\frac {V_{dc}}{\pi}\)
4. \(\frac {2 V_{dc}}{\pi}\)

Correct Ans: D

Q59.AC voltage controllers convert

1. fixed alternating voltage directly to variable alternating voltage without a change in the
   frequency
2. fixed alternating voltage directly to variable alternating voltage with a change in the frequency
3. variable alternating voltage directly to constant dc voltage without a change in the frequency
4. variable alternating voltage directly to constant dc voltage with a change in the frequency

Correct Ans: A

Q60.A system which does not have a unique relationship between its input x(t) and output y(t) is called__________.

1. Non-causal system
2. Non-invertible system
3. Time variant system
4. Non-line ar system

Correct Ans: B

Q61.A block diagram realization shown in Figure is the structure of the IIR system. Its input-output relation would be____________.

1. \(y(n) = x(n) + 5y(n-1) \)
2. \(y(n) = x(n) - 5y(n-1) \)
3. \(y(n) = 2x(n) + 5y(n-1) \)
4. \(y(n) = 2x(n) - 5y(n-1) \)

Correct Ans: C

Q62.A pure sine wave with a frequency of 100 Hz is sampled at 150 Hz. At which one of the following frequencies you would expect an alias?

1. 50 Hz
2. 75 Hz
3. 100 Hz
4. 150 Hz

Correct Ans: A

Q63.For the non-inverting amplifier shown in Figure, \(R_1 = 1\: k \Omega \) and \(R_f = 10\: k \Omega \). Find the output voltage for an input voltage of 1 V.

1. 1 V
2. 5 V
3. 11 V
4. 15

Correct Ans: C

Q64.A full adder can be made out of____________.

1. two half adders
2. two half adders and a NOT gate
3. two half adders and an AND gate
4. two half adders and an OR gate

Correct Ans: D

Q65.For the circuit shown in Figure, the output function Y is______________.

1. \(Y=AB+C(D+E)\)
2. \(Y=AB+C+DE\)
3. \(\bar A + \bar B + \bar C + \bar D+ \bar E\)
4. \((\bar A + \bar B ) C + \overline {DE}\)

Correct Ans: D

Q66.A J-K flip-flop is in a "no change" condition when_________.

1. J=0, K=0
2. J=0, K=1
3. J=1, K=0
4. J=1, K=1

Correct Ans: A

Q67.In the circuit diagram of an Owen bridge shown in Figure, the unknown inductance 'Lu' and resistance 'Ru' of the coil are_________.

1. \( L_u = C_1 R_2 R_3, \: R_u = C_1 \frac{R_2}{C_3} \)
2. \(L_u = C_3 \frac{R_3}{R_2}, \: R_u = C_1 \frac{R_2}{C_3} \)
3. \( L_u = C_1 C_3, \: R_u = R_3 R_2 \)
4. \( L_u = C_3 \frac{R_2}{C_1}, \: R_u = C_1 R_ 2 \)

Correct Ans: A

Q68.Which of the following is an active transducer ?

1. Strain gauge
2. LVDT
3. Thermistor
4. Piezoelectric transducer

Correct Ans: D

Q69.A three digit 0-1 V digital voltmeter will have a resolution of____________.

1. 1 mV
2. 0.1 V
3. 0.5 V
4. 1 V

Correct Ans: A

Q70.The per unit value of a 5 ohm resistor connected in a single phase circuit at 100 MVA and 10 kV base voltage is______________.

1. 0.05 pu
2. 0.5 pu
3. 5 pu
4. 50 pu

Correct Ans: C

Q71.The bus admittance matrix \(Y_{bus}\) of a 100-bus interconnected system is 90% sparse. Hence, the number of transmission lines in the system is____________.

1. 450
2. 500
3. 750
4. 1000

Correct Ans: A

Q72.A 15-bus power system has 4 - voltage controlled buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian matrix is__________.

1. 11 * 11
2. 15 * 15
3. 24 * 24
4. 30 * 30

Correct Ans: C

Q73.The transient stability of the power system can be effectively improved by

1. increasing the transfer reactance
2. single pole switching of circuit breakers
3. phase shifting transformer
4. None of the above

Correct Ans: B

Q74.The positive, negative and zero sequence currents are equal for_________fault.

1. Three phase
2. Single line to ground
3. Double Line
4. Double line to ground

Correct Ans: B

Q75.In a balanced three-wire, star or delta connected system, the value of neutral current is___________.

1. 0
2. \(I_a\)
3. \(3I_a\)
4. \(\frac{I_a}{3}\)

Correct Ans: A

Q76.By performing cascading and/or summing/differencing operations using transfer function blocks \(G_1(s)\) and \(G_2(s)\), one CAN NOT realize a transfer function of the form________________.

1. \(G_1(s)G_2(s)\)
2. \(\frac{G_1(s)}{G_2(s)}\)
3. \(G_1(s){\left( {\frac{{1}}{{G_1(s)}}+G_2(s)} \right)}\)
4. \(G_1(s){\left( {\frac{{1}}{{G_1(s)}}-G_2(s)} \right)}\)

Correct Ans: B

Q77.The characteristic equation of a system is given as \(s^3+25s^2 +10s+50=0\). What is the number of the roots in the right half s-plane and the imaginary axis respectively ?

1. 1,1
2. 1,2
3. 0,0
4. 2,1

Correct Ans: C

Q78.Let \(\dot{x} = \begin{bmatrix}1 & 2 \\ 0 & 1 \end{bmatrix} x + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u \quad\) and \(\quad y=\begin{bmatrix} b & 0 \end{bmatrix}\: x\)
Where b is an unknown constant. This system is

1. Observable for all values of b
2. Observable for all non-zero values of b
3. Unobservable for all values of b
4. Unobservable for all non-zero values of b

Correct Ans: B

Q79.For the transfer function \(M(s) = s + 2\), the polar plot for \(0 \leq\) \(\omega\) \(\leq\) \(\infty\) is____________.

1. 
2. 
3. 
4. 

Correct Ans: A

Q80.Which of the following electrical circuits represents the lead compensator network ?

1. 
2. 
3. 
4. 

Correct Ans: C

Q81.The IBM Automatic Sequence Controlled Calculator (ASCC), is called___________.

1. UNIVACI
2. ENIAC 1
3. Mark I
4. IBM 701

Correct Ans: C

Q82."Keeping track of time and resources used by various jobs and users" - refers to which activity of OS?

1. Security
2. Control over system performance
3. Job accounting
4. Error detecting aids

Correct Ans: C

Q83._____________refers to identifying each user of the system and associating the executing programs with those users.

1. Authorization
2. Authentication
3. Automation
4. Security

Correct Ans: B

Q84.Identify which is not an advantage of ROM?

1. Non-volatile
2. cannot be accidentally changed
3. cheaper than RAMS
4. Used as cache memory

Correct Ans: D

Q85.Where can you find the following options in MS Word? Shadow, Outline, Emboss

1. Font - Style
2. Font - Effects
3. Font - Size
4. Font - Underline style

Correct Ans: B

Q86.Mention the keyboard shortcut to Expand or Collapse the formula bar.

1. Shift+F9
2. Ctrl+Shift+End
3. Ctrl+End
4. Ctrl+Shift+U

Correct Ans: D

Q87.___________process generates its multiple copies where each copy uses system resources, prevents all other processes to get required resources.

1. Worm
2. Port Scanning
3. Denial of Service
4. Program

Correct Ans: A

Q88.________________are cybersecurity attacks that allow the attacker to eavesdrop on communication between two targets.

1. Man-in-the-middle attacks
2. DDOS attacks
3. SQL Injection attacks
4. Rootkit attacks

Correct Ans: A

Q89.Identify which is not the service provided by transport layer protocols?

1. Framing & Link access
2. End-to-end delivery
3. Reliable delivery
4. Addressing

Correct Ans: A

Q90._____________is used to achieve the three aspects - authentication, integrity, and non-repudiation.

1. Plain Text
2. Digital Signature
3. Ciphertext
4. Decryption

Correct Ans: B

Q91.અવજ્ઞા શબ્દનો સમાનાર્થી શબ્દ જણાવો

1. ઉપેક્ષા
2. અપેક્ષા
3. આજ્ઞા
4. તિતિક્ષા

Correct Ans: A

Q92.રાત-દિવસ માટે કયો શબ્દ વાપરવામાં આવે છે?

1. અરૂણોદય
2. અનિર્હશ
3. અહર્નિશ
4. અમૂલખ

Correct Ans: C

Q93.અછોવાના કરવા રૂઢિપ્રયોગનો ખરેખર અર્થ શોધો.

1. આજીજી કરવી
2. આંસુ લૂછવા
3. ઘણું વહાલ દર્શાવવું
4. અપશબ્દ બોલવા

Correct Ans: C

Q94.બીજો અર્થ સ્પષ્ટ કરો. સુરત: શહેરનું નામ :: સૂરત :_____

1. સૂતર
2. ચહેરો
3. શરત
4. સ્ત્રી

Correct Ans: B

Q95.શબ્દકોશના ક્રમમાં ગોઠવીએ તો પ્રથમ શબ્દ કયો આવે?
ભક્તિ, મોક્ષ, પ્રભાત, જ્ઞાન

1. મોક્ષ
2. પ્રભાત
3. ભક્તિ
4. જ્ઞાન

Correct Ans: D

Q96.દેશનું ગૌરવ વધારવું એ હમારી ફરજ છે'. આપેલા વાક્યમાં ભૂલ સુધારો.

1. દેશનું ગૌરવ વધારવું એ એમની ફરજ છે.
2. દેશનું ગૌરવ વધારવું એ આપણેની ફરજ છે.
3. દેશનું ગૌરવ વધારવું એ આપણી ફરજ છે.
4. દેશનું ગૌરવ વધારવું એ હમને ફરજ છે.

Correct Ans: C

Q97.અહીં બે વાક્યો આપ્યા છે. સાચા વાક્યનો યોગ્ય વિકલ્પ જણાવો.

1 . મેં સપનાનું સ્વાગત કર્યું.

2 . મેં સપનાનું સારું સુસ્વાગત કર્યું.

1. 1 અને 2 બંને સાચા છે.
2. 1 સાચું છે.
3. 2 સાચું છે.
4. 1 અને 2 બંને ખોટા છે.

Correct Ans: B

Q98.ત્રિલોક પત્ર વાંચે છે. - આ વાક્યનું પ્રેરક વાક્ય કયું હશે?

1. ત્રિલોકે પત્ર વંચાવ્યો
2. ત્રિલોક મારફત પત્ર વંચાયો
3. ત્રિલોકથી પત્ર વંચાય છે.
4. ત્રિવેણી ત્રિલોક પાસે પત્ર વંચાવે છે.

Correct Ans: D

Q99.વાહ! તમે તો કોઈ ન કરે એવી કમાલ કરી. આ વાક્યનો પ્રકાર જણાવો

1. ગંભીર
2. નકાર
3. ઉદ્વાર
4. વિધાન

Correct Ans: C

Q100._______પ્રકારના વાક્યમાં કેટલીકવાર કર્તાની હાજરી હોતી નથી.

1. કર્મણિ
2. ભાવે
3. કર્તરિ
4. પ્રેરક

Correct Ans: A

QEE1.Find the value of \( \int_0^1{\int_0^{x^2}{(x^2+y^2)}} \: dy \: dx \).

1. \( \frac{23}{105} \)
2. \( \frac{19}{105} \)
3. \( \frac{26}{105} \)
4. \( \frac{17}{105} \)

Correct Ans: C

Solution:

\( \int_0^1{\int_0^{x^2}{(x^2+y^2)}} \: dy \: dx \)


= \( \int_0^1 [x^2 y + \frac{y^3}{3}]_0^{{x}^{2}} dx \)


= \( \int_0^1 [x^4 + \frac{x^6}{3}] dx\)


= \([\frac{x^5}{5} + \frac{x^7}{21}]_0^1\)


= \([\frac{1}{5} + \frac{1}{21}]\)


=\(\frac{26}{105}\)

QEE2.The three coordinates of a point P in the spherical coordinate system are \( ( r, \: \theta , \: \phi )\). The range of variable 'r' is:

1. \(-\infty \leq r < 0 \)
2. \( 0 \leq r < 1 \)
3. \( 0 \leq r < \infty \)
4. \( -1 \leq r < 0 \)

Correct Ans: C

Solution:

\(\Rightarrow\) In spherical coordinate system 'r' is the distance of point P from origin and so \( 0 \leq r < \infty \)

QEE3.Which of the following amplifiers is most suitable to be used in the output stage of the operational amplifier?

1. Push-pull complementary amplifier
2. Complementary MOS amplifier
3. Common emitter amplifier
4. Emitter coupled amplifier

Correct Ans: A

Solution:

\(\Rightarrow\) The push-pull amplifier increases the output voltage and current delivering capability of the operational amplifier.

QEE4.Two watt meters are connected to measure the power in a 3-phase balanced load. Determine the power factor if the two watt meters read 600 Watts each and both positive.

1. 1
2. 0.0035
3. 0.1
4. 0.5

Correct Ans: A

Solution:

\(\mathbf{Given \:data:}\)

\(W_1=W_2=600\:W\)


\(\mathbf{ Measurement\:of\:Power\:and\:Power\:factor\:by\:Two\:Wattmeter\:Method\:in\:a\:balanced\:three\:phase\:load}\)


\(Wattmeter\: reading\: W_1=V_LI_L\cos(30^\circ-\phi)....(1)\)

\(Wattmeter\: reading \:W_2=V_LI_L\cos(30^\circ+\phi)....(2)\)

\(Using\: equation\:(1)\:and\:(2)\)

\(Total\:power\:absorbed\:in\:a\:three\:phase\:W=W_1+W_2=\sqrt3V_LI_L\cos\phi....(3)\)

\(W_1-W_2=V_LI_L\sin\phi....(4)\)

\(Using\: equation\:(3)\:and\:(4)\)

\(\frac{W_1-W_2}{W_1+W_2}=\frac{V_LI_L\sin\phi}{\sqrt3V_LI_L\cos\phi}\)

\(\tan\phi=\sqrt3[\frac{W_1-W_2}{W_1+W_2}]....(5)\)

\(\phi=\tan^{-1}[\frac{\sqrt3(W_1-W_2)}{W_1+W_2}]....(6)\)


Values \(W_1=W_2=600\:W\) put in equation (6)

\(\phi=\tan^{-1}(0)\implies \phi=0\)

\(Power\:factor=\cos\phi=\cos0=1\)


Therefore,In measurement of 3-phase power by two wattmeter method, both wattmeter readings are equal. The power factor of the load is unity.

QEE5.State true/false for the following statements.

1. Energy of a power signal is infinite.

2. Power of an energy signal is zero.

1. Both statements are false
2. Statement 1 is false and statement 2 is true
3. Both statements are true
4. Statement 1 is true and statement 2 is false

Correct Ans: C

Solution:

\(\Rightarrow \mathbf{Energy\: Signal}\) is a signal whose energy is finite and power is zero.


\(\Rightarrow \mathbf{Power\: Signal}\) is a signal whose power is finite and energy is infinite.

QEE6.A DC motor with armature resistance of 0.5 \( \Omega \) is connected to a 230 V supply. Find the starting current in the armature.

1. 230 A
2. 46 A
3. 23 A
4. 460 A

Correct Ans: D

Solution:

\(\Rightarrow\) Starting current of DC motor is given by


\( I_{ast} = \frac{V}{R_a} \)


\( I_{ast} = \frac{230}{0.5} = 460 \: A \)

QEE7.Half controlled bridge converter (using two SCR’s and two diodes) is used to provide:

1. triple quadrant operation
2. single quadrant operation
3. four quadrant operation
4. double quadrant operation

Correct Ans: B

Solution:

\(\Rightarrow\) The half controlled converter can provide positive output voltage and current only.
\(\Rightarrow\) Hence it can provide single quadrant operation only.

QEE8.Which of the following circuits CANNOT be used to trigger the SCR?

1. RC triggering
2. UJT triggering
3. Resistance triggering
4. Snubber triggering

Correct Ans: D

Solution:

\(\Rightarrow\) Snubber circuit is used to limit high dv/dt in SCR
\(\Rightarrow\) High dv/dt can cause malfunctioning of SCR.

QEE9.The buffer used in an operational amplifier is usually:

1. CMOS
2. TTL
3. IGFET
4. Emitter follower

Correct Ans: D

Solution:

\(\Rightarrow\) Emitter follower has unity gain.
\(\Rightarrow\) So emitter follower only provides impedance transformation without affecting the magnitude of signal.

QEE10.Which of the following is NOT true for the three-phase system?

1. The amount of copper or aluminium wires required to transfer the given amount of power is more in a three-phase system than that is required in a single-phase system.
2. In a three-phase system, power never falls to zero.
3. A three-phase system has better voltage regulation.
4. A three-phase machine gives more output compared to a single-phase machine of the same size.

Correct Ans: A

Solution:

\(\mathbf{Advantages \:of \:Three\: Phase\: System:}\)

\(\mathbf{1.}\) Three phase system requires only 75% weight of conducting materials of that required by single phase system to transmit the same amount of power at a given voltage and over a given distance.

\(\mathbf{2.}\) Three phase system is more capable and reliable than single phase system.

\(\mathbf{3.}\) A three-phase machine gives more output compared to a single-phase machine of the same size.

\(\mathbf{4.}\) A three-phase system has better voltage regulation.

QEE11.What will be the efficiency of a transformer when the copper losses and iron losses in the system are equal?

1. Maximum
2. 50%
3. 25%
4. Minimum

Correct Ans: A

Solution:

\(\Rightarrow\) Maximum Efficiency occurs when Copper Loss = Iron Loss

QEE12.Find the skew-symmetric matrix for the following matrix.

$$\begin{bmatrix} 0 & 5 \\ -5 & 0 \end{bmatrix}$$

1. \(\begin{bmatrix} -5 & 0 \\ 0 & -5 \end{bmatrix}\)
2. \(\begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\)
3. \(\begin{bmatrix} 0 & 5 \\ 5 & 0 \end{bmatrix}\)
4. \(\begin{bmatrix} 0 & -5 \\ 5 & 0 \end{bmatrix}\)

Correct Ans: D

Solution:

Given,


\(A = \begin{bmatrix}0 & 5 \\-5 & 0 \end{bmatrix}\)


\(\Rightarrow\) Condition for Skew-symmetric matrix is \(A^T = -A\)



For matrix \(A =\begin{bmatrix}0 & 5 \\-5 & 0 \end{bmatrix}\)


\(\implies A^T = \begin{bmatrix}0 & -5 \\5 & 0 \end{bmatrix} = (-1) \begin{bmatrix}0 & 5 \\-5 & 0 \end{bmatrix} = -A \)


\(\therefore Skew-symmetric \: matrix

=\begin{bmatrix}0 & -5 \\5 & 0 \end{bmatrix}\)

QEE13.Weber/Ampere turn meter is the unit of:

1. magnetic flux of magnetic circuit
2. flux density of magnetic circuit
3. permeability in magnetic circuit
4. dipole moment of magnetic circuit

Correct Ans: C

Solution:

Reluctance \(S=\frac{l}{\mu A}\)

Where,

\(S\) - Reluctance in \(AT/Wb\)

\(l\) - Length of magnetic circuit in \(m\)

\(A\) - Area of cross-section of the magnetic path in \(m^2\)

\(\mu\) - Absolute permeability of the materials in \(H/m\)


\(S=\frac{l}{\mu A} \implies \mu=\frac{l}{S\times A}=\frac{m}{\frac{AT}{Wb}\times m^2}=\frac{Wb}{AT \times m}\)

QEE14.An electric heater is rated 1 kW, 200V. Find the current drawn by the heating element.

1. 2 Amps
2. 8 Amps
3. 5 Amps
4. 4 Amps

Correct Ans: C

Solution:

\(\mathbf{Given \:data:}\)

An electric heater rating \(P=1\:kW=1000\:W,\:V=200\:V\)


\(P=\frac{V^2}{R}\implies R=\frac{V^2}{P}=\frac{(200)^2}{1000}=40\:\Omega\)

Current drawn by the heating element \(I=\frac{V}{R}=\frac{200}{40}=5\:A\)

QEE15.Identify the following machine.

1. Separately excited DC generator
2. Compound DC motor
3. Separately excited DC motor
4. Compound DC generator

Correct Ans: A

Solution:

\(\Rightarrow\) In given figure, the field winding is excited saperately by a DC source and so it is saperately excited DC machine.

\(\Rightarrow\) Here the current is flowing away from the armature and so it is generator.

QEE16.Find \( \frac{dy}{dx} \) for \( y = \cos^4 x \)

1. \( \frac{dy}{dx} = -4 \sin^3 x \)
2. \( \frac{dy}{dx} = -4 \cos{x} \sin^3 x \)
3. \( \frac{dy}{dx} = 4 \cos^3 x \)
4. \( \frac{dy}{dx} = -4 \sin{x} \cos^3 x \)

Correct Ans: D

Solution:

QEE17.It is desired to design a binary ripple counter, capable of counting the number of items passing on a conveyor belt. Each time an item passes a given point, a pulse is generated that can be used as a clock input. If the maximum number of items to be counted is 3000, determine the number of flip-flops required.

1. 12
2. 11
3. 10
4. 13

Correct Ans: A

Solution:

\(\Rightarrow\) A ripple counter with \(n\) flipflops will able to count \(2^n-1\) counts.
\(\Rightarrow\) Here, the counter needs to count 3000. \(\quad \therefore 2^n-1 \geq 3000\).

\(\quad \therefore 2^n \geq 3001 \implies n = \frac{\log 3001}{\log 2} \approx 12.\)

QEE18.Which of the following is NOT a characteristic of a shunt type fault?

1. Fall in frequency
2. Fall in voltage
3. Fall in current
4. Increase in current

Correct Ans: C

Solution:

Types of Shunt type of faults:

\(\rightarrow\) Line to Ground fault (L-G)

\(\rightarrow\) Line to Line fault (L-L)

\(\rightarrow\) Double Line to Ground fault (L-L-G)

\(\rightarrow\) Three phase fault


The shunt type faults characterized by:

\(\rightarrow\) Fall in voltage level

\(\rightarrow\) Fall in frequency

\(\rightarrow\) Increase in current value

QEE19.

Wire 1 and wire 2 are inductively linked. If their self-inductance is \(L_1\) and \(L_2\), mutual inductance is \(M\), then which of the following equations is the correct expression for \(E_1\)?

1. \(E_1 = -L_1 \frac{di_1}{dt} - M\frac{di_2}{dt} \)
2. \(E_1 = L_2 \frac{di_2}{dt} - M\frac{di_1}{dt} \)
3. \(E_1 = -L_2 \frac{di_2}{dt} - M\frac{di_1}{dt} \)
4. \(E_1 = L_1 \frac{di_1}{dt} - M\frac{di_2}{dt} \)

Correct Ans: A

Solution:

Self induced e.m.f. in coil 1 \(E_{S1}=-L_1\frac{dI_1}{dt}\)

Self induced e.m.f. in coil 2 \(E_{S2}=-L_2\frac{dI_2}{dt}\)

Mutually induced e.m.f. in coil 1 \(E_{m1}=-M\frac{dI_2}{dt}\)

Mutually induced e.m.f. in coil 1 \(E_{m2}=-M\frac{dI_1}{dt}\)

Total induced e.m.f. in coil 1 \(E_1=-L_1\frac{dI_1}{dt}-M\frac{dI_2}{dt}\)


\(\mathbf{Note:}\)

Total induced e.m.f. in coil 2 \(E_2=-L_2\frac{dI_2}{dt}-M\frac{dI_1}{dt}\)

Total induced e.m.f. in the combination \(E=E_{S1}+E_{S2}+E_{m1}+E_{m2}\)

QEE20.If \( y=a\cos{nx}+b\sin{nx}\), find \( \frac{d^2y}{dx^2} \).

1. \( \frac{d^2y}{dx^2} = n^2 y \)
2. \( \frac{d^2y}{dx^2} = -n^2 y \)
3. \( \frac{d^2y}{dx^2} = n y \)
4. \( \frac{d^2y}{dx^2} = -n y \)

Correct Ans: B

Solution:

\( y=a\cos{nx}+b\sin{nx}\)


\(\frac{dy}{dx} = [an ( -\sin nx) + b n \cos nx]\)


\(\frac{d^2y}{dx^2} = -an^2 \cos nx - bn^2 \sin nx\)


\(\frac{d^2y}{dx^2} = -n^2 [a \cos nx + b \sin nx]\)


\( \frac{d^2y}{dx^2} = -n^2 y \)

QEE21.A 4-pole, \(500\: V\) DC shunt motor has 720 wave connected conductor on its armature. The full load armature current is \(60\: A\) and the flux per pole is \(0.03\: Wb\), the armature resistance including brush contact is \(0.2\: \Omega\). Calculate the full load speed of the motor.

1. 433.33 RPM
2. 677.77 RPM
3. 633.33 RPM
4. 567.67 RPM

Correct Ans: B

Solution:

For the DC Shunt motor back emf is given by


\(E_b = V - I_aR_a \)


\(E_b = 500 - 60 \times 0.2 = 488 \: V\)


Back emf can also be written as


\(E_b = \frac{\phi Z N P}{60A} \)


For the wave winding number fo parallel paths \( A = 2 \)


So above equation can be written as


\(E_b = \frac{\phi Z N P}{60\times 2} \)


\(\implies\) \( N = \frac{E_b \times 60\times 2}{\phi Z P} \)


\(\implies\) \( N = \frac{488 \times 60\times 2}{0.03 \times 720 \times 4} \)


\(\implies\) \( N = 677.77 \: RPM \)

QEE22.Which of the following is a passive resistive pressure transducer?

1. RTD
2. LVDT
3. Strain gauge
4. Piezoelectric transducer

Correct Ans: C

Solution:

The passive transducer converts change in non electrical quantity to a change in some passive electrical quantity, such as capacitance, resistance, or inductance.

Example: RTD, Strain Gauge

\(\Rightarrow\) Both RTD and strain gauge are resistive transducers but RTD is a temperature transducer and strain gauge is a pressure transducer.

QEE23.In series resonance, the resonance frequency is the ________________ the two half power frequencies.

1. Geometric mean of
2. ratio of
3. difference between
4. algebraic sum of

Correct Ans: A

Solution:

\(\mathbf{Series\:Resonance:}\)

\(\mathbf{Resonance\:Curve}\)



\(\Rightarrow\) Two points A and B on the resonance curve are known as half-power points.

\(\Rightarrow\) \(f_1\) - Lower cut-off frequency (Lower half-power frequency)

\(\Rightarrow\) \(f_2\) - Upper cut-off frequency (Upper half-power frequency)

\(\Rightarrow\) \(f_r\) - Resonance frequency is the Geometric mean of the two half power frequencies.

\(\Rightarrow\) Bandwidth (B.W) \(=f_2-f_1\)

\(\Rightarrow\) At below resonance frequency, Circuit behaves like a capacitive circuit \((X_C > X_L)\)

\(\Rightarrow\) At above resonance frequency, Circuit behaves like an inductive circuit \((X_L > X_C)\)

\(\Rightarrow\) At resonance frequency, Circuit behaves like a purely resistive circuit \((X_L = X_C)\)

QEE24.


The above one line diagram represents:

1. Equivalent circuit of induction motor
2. Equivalent circuit of filter
3. Equivalent circuit of synchronous motor
4. Equivalent circuit of generator

Correct Ans: D

Solution:

\(\Rightarrow\) Given single line diagram is equivalent circuit of generator because here current flows outwards, it is also a synchronous machine because it contains synchronizing reactance \( jX_s \).

QEE25.What is the frequency response \(H(j \omega)\) for a simple RC high pass filter?

1. \(H(j \omega) = \frac{j \omega RC}{1+RC j \omega}\)
2. \(H(j \omega) = \frac{j \omega }{1+RC j \omega}\)
3. \(H(j \omega) = \frac{RC }{1+RC j \omega}\)
4. \(H(j \omega) = \frac{j \omega RC}{RC + j \omega}\)

Correct Ans: A

Solution:

\(\Rightarrow \)For Simple RC High Pass Filter, the circuit will be:





\(\Rightarrow\) As per voltage-divider relationship,


\(V_{out} = \frac{R}{R-jX_c}\:V_{in}\)


\(\implies \) Transfer Function \(=H(j\omega) =\frac{V_{out}}{V_{in}}= \frac{R}{R-jX_c}\)


\(\quad \quad = \frac{R}{R+\frac{1}{j\omega C}}\)


\(\quad \quad = \frac{j\omega RC}{1+j\omega RC}\)

QEE26.Which of the following is true for the positive sequence components?

1. They are equal in magnitude and displayed from each other by \(60^o\) with the same sequence as the original phases
2. They are unequal in magnitude and displayed from each other by \(120^o\) with the same sequence as the original phases
3. They are equal in magnitude and displayed from each other by \(120^o\) with the same sequence as the original phases
4. They are unequal in magnitude and displayed from each other by \(60^o\) with the same sequence as the original phases

Correct Ans: C

Solution:

QEE27.Mason's gain formula for signal flow graph is represented as:

1. \(G(s)=\frac{C(s)}{R(s)} = \frac{\sum_{k=1}^n P_k\Delta}{2\Delta_k} \)
2. \(G(s)=\frac{C(s)}{R(s)} = \frac{\sum_{k=1}^n P_k\Delta}{\Delta_k} \)
3. \(G(s)=\frac{C(s)}{R(s)} = \frac{\sum_{k=1}^n P_k\Delta_k}{2\Delta} \)
4. \(G(s)=\frac{C(s)}{R(s)} = \frac{\sum_{k=1}^n P_k\Delta_k}{\Delta} \)

Correct Ans: D

Solution:

\(\Rightarrow \mathbf{Mason's\: Gain\: Formula:}\) The relation between an input variable and an output variable of a Signal Flow Graph is given by Mason's Gain Formula.



\(\implies\) The overall system gain is given by:


\(G(s)=\frac{C(s)}{R(s)} = \frac{\sum_{k=1}^n P_k\Delta_k}{\Delta} \)

where,

\(\rightarrow P_k =\) Forward path gain of the \(K^{th}\) forward path.

\(\rightarrow \Delta = 1 - \) [Sum of the loop gain of all individual loops] + [Sum of gain products of all possible two non-touching loops] + [Sum of gain products of all possible three non-touching loops] + .......

\(\rightarrow \Delta_k \) is obtained from \(\Delta\) by removing the loops which are touching the kth forward path.

QEE28.The following symbol is used for: <br> <br>

1. SCR
2. TRIAC
3. DIAC
4. PUT

Correct Ans: B

Solution:

\(\Rightarrow\) The symbol shown in figure is of TRIAC.
\(\Rightarrow\) TRIAC is a controlled bidirectional switch.

QEE29.Find the differential form of Gauss's theorem, considering \(\rho\) row as the local charge density.

1. \( \Big ( \frac{dE^x}{dx} + \frac{dE^y}{dy}+\frac{dE^z}{dz}\Big)=\frac{3\rho}{\varepsilon_0}\)
2. \( \Big ( \frac{dE^x}{dx} + \frac{dE^y}{dy}+\frac{dE^z}{dz}\Big)=\frac{\sqrt[3]{\rho}}{\varepsilon_0}\)
3. \( \Big ( \frac{dE^x}{dx} + \frac{dE^y}{dy}+\frac{dE^z}{dz}\Big)=\frac{2\rho}{\varepsilon_0}\)
4. \( \Big ( \frac{dE^x}{dx} + \frac{dE^y}{dy}+\frac{dE^z}{dz}\Big)=\frac{\rho}{\varepsilon_0}\)

Correct Ans: D

Solution:

\(\Rightarrow\) Differential form of Gauss law states that the divergence of electric field E at any point in space is equal to \(\frac{1}{\varepsilon_0}\) times the volume charge density, \( \rho \), at that point.

\( \Big ( \frac{dE^x}{dx} + \frac{dE^y}{dy}+\frac{dE^z}{dz}\Big)=\frac{\rho}{\varepsilon_0}\)

QEE30.Solve the following:


\(\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}} \)

1. \(\cos y = \cos x + c \)
2. \(\sin^{-1} y = \sin^{-1} x + c \)
3. \(\cos^{-1} y = \cos^{-1} x + c \)
4. \(\sin y = \sin x + c \)

Correct Ans: B

Solution:

Given,

\(\frac{dy}{dx}=\sqrt{\frac{1-y^2}{1-x^2}} \)


\(\Rightarrow\) \(\sqrt{1-x^2} \: dy = \sqrt{1-y^2} \: dx\)


\(\Rightarrow\) \(\frac{dy}{\sqrt{1-y^2}} = \frac{dx}{\sqrt{1-x^2}} \)


Apply Integration both side,
\(\Rightarrow\) \(\int \frac{dy}{\sqrt{1-y^2}} = \int \frac{dx}{\sqrt{1-x^2}} \)


\(\implies \sin^{-1} y = \sin^{-1} x + C\)

QEE31.


Above symbol represents:

1. OR-AND Invert Gate
2. AND-OR Invert Gate
3. Schmitt Gate
4. Inhibit Logic Gate

Correct Ans: A

Solution:

\(\Rightarrow\) The OAI (OR AND Invert) gate is used to realize the product of sum form of Boolean function.
\(\Rightarrow\) It is used in CMOS technology.
\(\Rightarrow\) It reduces the number of transistor needed to implement a Boolean function.

QEE32.What is the equation to calculate the wave number \((k)\), when the wave is traveling through any material other than the vacuum?

1. \(K=2\pi f \sqrt{ \varepsilon_r \mu_r} \)
2. \(K=2\pi f \sqrt{ \varepsilon_r \varepsilon_0 \mu_r \mu_0} \)
3. \(K=2\pi f \sqrt{ \varepsilon_0 \mu_0} \)
4. \(K=\pi f \sqrt{ \varepsilon_r \varepsilon_0 \mu_r \mu_0} \)

Correct Ans: B

Solution:

\(\Rightarrow\) Wave number \((k)\), when the wave is traveling through any material other than the vacuum is given by:


\(K=2\pi f \sqrt{ \varepsilon_r \varepsilon_0 \mu_r \mu_0} \)

QEE33.Type-B chopper gives operation in the ___________only.

1. \(2^{nd}\:quadrant\)
2. \(1^{st}\:quadrant\)
3. \(1^{st} \: and \: 2^{nd}\:quadrants\)
4. \(1^{st} \: and \: 4^{th}\:quadrants\)

Correct Ans: A

Solution:

\(\Rightarrow\) Type A chopper \(\rightarrow\) First quadrant operation (+ve voltage and +ve current)
\(\Rightarrow\) Type B chopper \(\rightarrow\) Second quadrant operation (+ve voltage and -ve current)
\(\Rightarrow\) Type C chopper \(\rightarrow\) First and second quadrant operation (+ve voltage and current in both direction)
\(\Rightarrow\) Type D chopper \(\rightarrow\) First and fourth quadrant operation (-ve and +ve voltage and +ve current)
\(\Rightarrow\) Type E chopper \(\rightarrow\) Four quadrant operation

QEE34.Calculate the number of forward paths in the following system.

1. 6
2. 4
3. 5
4. 3

Correct Ans: C

Solution:

\(\Rightarrow \mathbf{Forward\: paths\: for\: given\: SFG:}\) From R(s) to C(s)


\(\implies 1.\quad G_1 \rightarrow G_2 \)

\(\implies 2.\quad G_7 \rightarrow G_8 \)

\(\implies 3.\quad G_4\)

\(\implies 4.\quad G_7 \rightarrow G_6 \rightarrow G_2\)

\(\implies 5.\quad G_1 \rightarrow G_5 \rightarrow G_8\)

QEE35.With reference to Ampere's circuital law, which of the following statement is incorrect?

1. The magnetic field intensity must be tangential or normal to the path.
2. The path is called Amperian path.
3. The law does not depend on the shape of the path.
4. The path need not to enclose the direct current.

Correct Ans: D

Solution:

\(\Rightarrow\) Ampere's circuital law states that the integral of magnetic field density (B) along an imaginary closed path is equal to the product of current enclosed by the path and permeability of the medium.

\(\Rightarrow\) So this law is applicable for the closed path only.

QEE36.The function of the level shifting stage in basic operational amplifier is

1. To provide an additional voltage gain
2. To bring the DC voltage level to 0 volts with respect to ground
3. To increase the output voltage swing
4. To provide most of the voltage gain

Correct Ans: B

Solution:

QEE37.Which of the following is a passive transducer?

1. Thermistor
2. Thermocouple
3. Photo voltaic transducer
4. Piezoelectric transducer

Correct Ans: A

Solution:

\(\Rightarrow\) The passive transducer converts change in non electrical quantity to a change in some passive electrical quantity, such as capacitance, resistance, or inductance.

Example: RTD, Strain Gauge, Thermistor

\(\Rightarrow\) The active transducer converts change in non electrical quantity to a change in some active electrical quantity, such as current or voltage without any auxilary power supply.

Example: Thermocouple, Photo voltaic transducer, Piezoelectric transducer

QEE38.If V is the electric potential in an electromagnetic field, then find the notation of \(dV\)

1. \(dV = \frac{\partial V}{\partial x} dz+ \frac{\partial V}{\partial y} dx+ \frac{\partial V}{\partial z} dy\)
2. \(dV = \frac{\partial V}{\partial x} dx+ \frac{\partial V}{\partial y} dz+ \frac{\partial V}{\partial z} dy\)
3. \(dV = \frac{\partial V}{\partial x} dy+ \frac{\partial V}{\partial y} dz+ \frac{\partial V}{\partial z} dx\)
4. \(dV = \frac{\partial V}{\partial x} dx+ \frac{\partial V}{\partial y} dy+ \frac{\partial V}{\partial z} dz\)

Correct Ans: D

Solution:

\(\Rightarrow\) If V is the electric potential in an electromagnetic field, then find the notation of \(dV\) is given by


\(dV = \frac{\partial V}{\partial x} dx+ \frac{\partial V}{\partial y} dy+ \frac{\partial V}{\partial z} dz\)

QEE39.An instrument with an internal resistance of \(100\: \Omega\) and a full scale current of \(10\: mA\) is to be converted to measure \(0-100\:V\). Find the value of the resistance to be used as multiplier.

1. \(1\:k\Omega\)
2. \(990\:\Omega\)
3. \(9.9\: k\Omega\)
4. \(10\: k\Omega\)

Correct Ans: C

Solution:

\(\Rightarrow\) To measure \(0-100\:V\) by \(100\: \Omega\) instrument having full scale at \(10\: mA\) suppose resistance R is connected in series with the instrument.


\(\Rightarrow\) If \(0 \: V \) is applied across the combination \( 0 \: A\) flows through it and so displacement will be zero.


\(\Rightarrow\) If \( 100 \: V \) is applied across the combination \(10\: mA\) should flow through it.


So \( 10\: mA = \frac{100 \: V}{R + R_i} \)


\(\Rightarrow\) \( 10\: mA = \frac{100 \: V}{R + 100} \)


\(\Rightarrow\) \( R + 100 = \frac{100 \: V}{10\: mA} = 10000 \)


\(\Rightarrow\) \( R = 9.9 \: k\Omega \)

QEE40.Find the equation for series field current for a short shunt compound wound generator.
\(\Big (I_a = \) Armature Current, \(I_L=\) Load Current, \(I_{se}=\) Series Field Current and \(I_{sh}=\) Shunt Field Current\(\Big )\)

1. \(I_{se}= I_a+I_{sh} \)
2. \(I_{se}= I_a+I_{L} \)
3. \(I_{se}= I_a+I_{sh}+I_L \)
4. \(I_{se}= I_L \)

Correct Ans: D

Solution:

Equivalent electrical circuit of short shunt compound wound generator is given by




From above circuit it is clear that the series current of short shunt compound generator is equal to load current.

QEE41.A System is completely said to be observable , If every state \(X(t_0)\) can be completely identified by measurements of output \(y(t)\) over a finite time interval.

1. \(t < t_0\)
2. \(t_0 \geq t \geq t_1 \)
3. \(t_0 > t_1\)
4. \(t < t_1\)

Correct Ans: B

Solution:

\(\Rightarrow\) A system is said to be \(\mathbf{Controllable}\), if it is possible to transfer the system state from any initial state to any desired state in finite interval of time.


\(\Rightarrow\) A system is said to be \(\mathbf{Observable}\), if every state can be completely identified by measurements of the outputs at the finite time interval.


\(\Rightarrow\) For given options, only option B indicated finite time interval.

QEE42.The voltage conversion for the transformer in the one-line diagram is achieved by:

1. \(kV_b\) on LT section = \(kV_b\) on LT section \(\big(\frac{LT\:voltage\:rating} {HT\:voltage\:rating}\big)\)
2. \(kV_b\) on LT section = \(kV_b\) on LT section \(\big(\frac{HT\:voltage\:rating}{LT\:voltage\:rating}\big)\)
3. \(kV_b\) on LT section = \(kV_b\) on HT section \(\big(\frac{LT\:voltage\:rating}{HT\:voltage\:rating}\big)\)
4. \(kV_b\) on LT section = \(kV_b\) on HT section \(\big(\frac{HT\:voltage\:rating}{LT\:voltage\:rating}\big)\)

Correct Ans: C

Solution:

As per figure, One line diagram is drawn for basic power system network.

\(\Rightarrow\) To calculate the base voltage for Transformer HT side, one example is taken.


Assume ratings:

Generator : \(11 KV, 25 KVA\)

Transformer 1: \(11 / 66 KV, 25 KVA\)

Transformer 2: \( 66/3.3 KV, 25 KVA\)

\(\Rightarrow\) Take base voltage at Generator side \(11 KV\) as base voltage.


\(\rightarrow\) \(Base \: voltage \: on \: Transformer \: HT \: side \: (Transmission \: line) = \frac{66}{11} \times Base \: voltage \: LT \: side = 66 kV\)


\(\therefore\) \(kV_b \: (HT) \: connection = \frac{HT \: rating}{LT \: rating} \times kV_b \: (LT) \: connection\)

QEE43.What is the output voltage \((V_{dc})\) of a single-phase full converter (fully controlled bridge rectifier)?

1. \(V_{dc} = \frac{V_m \sqrt 3}{\pi}\cos \alpha\)
2. \(V_{dc} = \frac{2V_m}{\pi}\cos \alpha\)
3. \(V_{dc} = \frac{3V_m}{\pi}\cos \alpha\)
4. \(V_{dc} = \frac{3V_m}{2\pi}\cos \alpha\)

Correct Ans: B

Solution:

QEE44.In which of the following load flow studies of a power system does the number of iterations required for convergence increase with the size of the system?

1. Newton Raphson method
2. The Gauss Seidel method
3. Fast decouple method
4. Jack Hubs method

Correct Ans: B

Solution:

QEE45.A circuit, whose properties or characteristics are the same in either direction is known as:

1. Bilateral circuit
2. Nonlinear circuit
3. Linear circuit
4. Unilateral circuit

Correct Ans: A

Solution:

\(\mathbf{Bilateral \:circuit:}\)

\(\Rightarrow\) A circuit, whose properties or characteristics are the same in either direction is known as Bilateral circuit.

\(\mathbf{Unilateral \:circuit:}\)

\(\Rightarrow\) A circuit, whose properties or characteristics are not the same in either direction is known as Unilateral circuit.

\(\mathbf{Bilateral \:element:}\)

\(\Rightarrow\) The voltage-current relation is the same irrespective of direction of flow of current. Examples: R, L,C.

\(\mathbf{Linear \:element:}\)

\(\Rightarrow\) Linear elements are those through which the flow of current changes linearly with the changing of the applied voltage across them.

QEE46.\(Q\) factor of an RLC series resonance circuit is:

1. \(\sqrt {\frac{2R}{LC}}\)
2. \(\frac{1}{R}\sqrt {\frac{L}{C}}\)
3. \(\sqrt {\frac{R}{LC}}\)
4. \(\frac{1}{R}\sqrt {\frac{1}{LC}}\)

Correct Ans: B

Solution:

\( \Rightarrow\) \(Q-factor = \frac{Resonance\:frequency(F_r)}{Band\:Width(BW)}\)

\( \Rightarrow\) \(Q-factor = 2\pi (\frac{maximum\:energy\:stored}{energy\:dissipated\:per\:cycle})\)

\( \Rightarrow\) \(Q-factor =\frac{1}{R}\sqrt{\frac{L}{C}}\)

\( \Rightarrow\) \(Q-Factor =\frac{Potential\:drop\:across\:capacitor\:or\:inductor}{Potential\:drop\:across\:R}\)

\( \Rightarrow\) \(Q-Factor = \frac{\omega L}{R}\)

\(\mathbf{Note:}\)


\(Q-factor\) ia also known as Quality Factor.

QEE47.Identify the equation of synchronous motor when operating in leading power factor.

1. \(E_f^2 = (V_t - I_aR_a)^2 +(I_aX_s)^2\)
2. \(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi + I_aX_s)^2\)
3. \(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi - I_aX_s)^2\)
4. \(E_f^2 = (V_t \cos \phi + I_aR_a)^2 +(V_t \sin \phi + I_aX_s)^2\)

Correct Ans: B

Solution:

Equation of synchronous motor when operating in leading power factor is given by


\(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi + I_aX_s)^2\)


Equation of synchronous motor when operating in lagging power factor is given by


\(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi - I_aX_s)^2\)

QEE48.For a series R-L circuit, the voltage across the resistance and the coils are 125 V and 200 V respectively, and R= 25 \(\Omega\). If the supply voltage is 250 V, 50 Hz and the power factor is 0.8, find the total power.

1. 625 W
2. 1250 W
3. 875 W
4. 1000 W

Correct Ans: NA

Solution:

\(\mathbf{Given \:data:}\)

\(\Rightarrow\) \(V_s=250\:V,R=25\:\Omega,\:\cos\phi=0.8\)


\(\cos\phi=\frac{R}{Z}\implies Z=\frac{R}{\cos\phi}=\frac{25}{0.8}=31.25\:\Omega\)

\(I_s=\frac{V_s}{Z}=\frac{250}{31.25}=8\:A\)

Total power \(P=V_sI_s\cos\phi=250\times 8\times 0.8=1600\:W\)

QEE49.The differential equation \(2y \: dx - (3y - 2x)dy = 0\) is

1. non-homogeneous
2. not linear
3. not exact
4. linear

Correct Ans: D

Solution:

Given,

\(2y \: dx - (3y - 2x)dy = 0\)


\(\mathbf{Homogeneous \: equation}\) : The degree of all the terms in the equation is same.


\(\Rightarrow\) \(2y \: dx - (3y - 2x)dy = 0\), it is Homogeneous equation.



\(\mathbf{Linear \: equation}\): A linear equation or polynomial, with one or more terms, consisting of the derivatives of the dependent variable with respect to one or more independent variables is known as a linear differential equation.



\(\Rightarrow\) \(2y \: dx - (3y - 2x)dy = 0\) , this equation can be write as,


\(\implies \frac{dx}{dy} + \frac{x}{y} = \frac{3}{2}\), it is Linear equation.



\(\mathbf{Exact \: equation}\): \(\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}\), for the differential equation \(M dx + N dy = 0\)


\(\Rightarrow\) \(2y \: dx - (3y - 2x)dy = 0\) , by comparison


\( M = 2y, \quad N = 2x-3y\)


\(\implies \frac{\partial M}{\partial y} = \frac{\partial 2y}{\partial y} = 2\)


\(\implies \frac{\partial N}{\partial x} = \frac{\partial (2x-3y)}{\partial x} =2 \)


\(\therefore\) \(\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}\), given equation is Exact.



\(\therefore\) \(2y \: dx - (3y - 2x)dy = 0\) equation is \(\mathbf{Homogenous, \: Linear \: and \: Exact \: equation}\).

QEE50.In a synchronous generator, the ratio of the voltage generated in the short-pitched coil to the voltage generated in full pitched coil is called :

1. form factor
2. pitch factor
3. breadth factor
4. distribution factor

Correct Ans: B

Solution:

\(\Rightarrow\) Form Factor = Ratio of RMS value to average value.

\(\Rightarrow\) Pitch Factor = Ratio of emf generated in short pitch coil to the emf generated in full pitch coil.

\(\Rightarrow\) The Distribution Factor or the Breadth Factor = Ratio of the actual voltage obtained to the possible voltage if all the coils of a polar group were concentrated in a single slot.

QEE51.


Find the Fourier sine coefficients of the square wave \(SW(x)\).

1. \(SW(x) = {4 \over \pi} \big[ \frac{sin x}{1} +\frac{sin 3x}{3} +\frac{sin 5x}{5} + \frac{sin 7x}{7} +...\big]\)
2. \(SW(x) = {2 \over \pi} \big[ \frac{sin 2x}{2} +\frac{sin 4x}{4} +\frac{sin 6x}{6} + ...\big]\)
3. \(SW(x) = {4 \over \pi} \big[ \frac{sin 2x}{2} +\frac{sin 4x}{4} +\frac{sin 6x}{6} + ...\big]\)
4. \(SW(x) = {2 \over \pi} \big[ \frac{sin x}{1} +\frac{sin 3x}{3} +\frac{sin 5x}{5} + \frac{sin 7x}{7} +...\big]\)

Correct Ans: A

Solution:

As the square wave is odd function,

\(a_0 = a_n = 0\) and \(L=\pi\)

and

\(b_n = \frac{1}{L} \int_0^{2L} f(x). \sin (\frac{n \pi x}{L}).dx \)


here, \( L=\pi\)



\(\Rightarrow\) \(b_n = \frac{2}{L} \int_0^{L} f(x). \sin (\frac{n \pi x}{L}).dx \)


\(b_n = \frac{4}{n \pi} . \sin^2 (\frac{1}{2} n\pi) \)


\(b_n = \frac{2}{n \pi} [1 - (-1)^n]\)


\(\Rightarrow\) \(b_n = \begin{cases}0 & n = even\\ \frac{4}{n \pi} & n = odd\end{cases}\)



\(\Rightarrow\) Now, the Fourier series is,


\(SW(x) = \frac{4}{\pi} \displaystyle\sum\limits_{n=1,3,5,...}^\infty \frac{1}{n}. \sin (\frac{n \pi x}{L}) \)


\(\Rightarrow SW(x) = \frac{4}{\pi} [\frac {\sin x}{1} + \frac {\sin 3x}{3} + \frac {\sin 5x}{5} + ....]\) for \(L =\pi\)

QEE52.State true/false for the following statement with reference to the speed control of 3-phase induction motors.
1. Pole changing method is applicable to cage motors only.
2. In the stator frequency control scheme, the variable frequency control can be achieved by cycloconverter.

1. Both statements are false
2. Both statements are false
3. Both statements are true
4. Statement 1 is true statement 2 is false

Correct Ans: C

Solution:

\(\Rightarrow\) Pole changing method is mainly applicable to cage motors, because rotor of cage motor develops a number of poles, which is equal to the poles of the stator winding.

\(\Rightarrow\) In the stator frequency control scheme, the variable frequency control can be achieved by cycloconverter.

QEE53.What are the components of the snubber circuit connected across SCR?

1. Inductor and resistor in parallel
2. Capacitor and resistor in series
3. Capacitor and resistor in parallel
4. Inductor and resistor in series

Correct Ans: B

Solution:

\(\Rightarrow\) Snubber circuit is used to prevent SCR from high dv/dt.
\(\Rightarrow\) A capacitor is connected across thyristor, which allows voltage to rise exponentially across SCR.
\(\Rightarrow\) In order to discharge this capacitor safely, a resistor is connected in series with capacitor.

QEE54.

Assuming the conductor carries charge \(\pm q\) per unit length, with the inner conductor being positively charged. Applying Gauss' theorem to cylindrical Gaussian surface of radius \(r\), the radial component of electric field intensity \(D_r\) is given by :

1. \(D_r = \frac{q}{2r}\)
2. \(D_r = \frac{q}{r}\)
3. \(D_r = \frac{q}{2\pi r}\)
4. \(D_r = \frac{q}{4\pi r}\)

Correct Ans: A

Solution:

Applying Gauss' theorem to cylindrical Gaussian surface of radius \(r\), the radial component of electric field intensity \(D_r\) is given by :

\(D_r = \frac{q}{2r}\)

QEE55.The step response of high-pass filter is:

1. \(V_r (t) = (1-e^{-\frac{t}{RC}})\:u(t)\)
2. \(V_r (t) = (1+e^{-\frac{t}{RC}})\:u(t)\)
3. \(V_r (t) = e^{-\frac{t}{RC}}\:u(t)\)
4. \(V_r (t) = (e^{-\frac{t}{RC}}-1)\:u(t)\)

Correct Ans: C

Solution:

\(\Rightarrow \mathbf{Step\:response\:of\:High\:Pass\:Filter:}\)


\(\implies\) For step input \(v_i(t) = u(t) \Rightarrow V_I(s) = \frac{1}{s}\)


\(\implies\) Output \(V_r(s) = \frac{1}{s+\frac{1}{RC}}\)


\(\implies v_r(t) = e^{\big (- \frac{t}{RC} \big )}\) for t\(\geq\)0


\(\implies v_r(t) = e^{\big (- \frac{t}{RC} \big )}\:u(t)\)

QEE56.Which of the following is an active transducer?

1. LVDT
2. Thermocouple
3. Strain gauge
4. Photo conductor

Correct Ans: B

Solution:

\(\Rightarrow\) The passive transducer converts change in non electrical quantity to a change in some passive electrical quantity, such as capacitance, resistance, or inductance.

Example: RTD, Strain Gauge, Thermistor

\(\Rightarrow\) The active transducer converts change in non electrical quantity to a change in some active electrical quantity, such as current or voltage without any auxilary power supply.

Example: Thermocouple, Photo voltaic transducer, Piezoelectric transducer

QEE57.The frequency at which the phase versus frequency plot of the control system crosses \(-180^o\) line is known as:

1. resonant frequency
2. natural frequency
3. phase crossover frequency
4. gain crossover frequency

Correct Ans: C

Solution:

\(\Rightarrow\) \(\mathbf{Phase \: Crossover \: Frequency \: ( \omega_{pc})}\) is the frequency at which phase angle of \(G(s)H(s)\) is \(-180^o\).



\(\Rightarrow\) \(\mathbf{Gain \: Crossover \: Frequency \: ( \omega_{gc})}\) is the frequency at which the magnitude of the \(G(s)H(s)\) becomes 1.

QEE58.In a single-phase full converter, what will be the average output voltage when the firing angle is 90° and the input voltage is \(V_m\)?

1. \(\frac{2V_m}{\pi}\)
2. \(\frac{V_m}{\pi}\)
3. Zero
4. \(-\frac{2V_m}{\pi}\)

Correct Ans: C

Solution:

\(\Rightarrow\) The average output voltage of single-phase full converter is \(V_{dc} = \frac{2V_m}{\pi}\cos \alpha\)

QEE59.Which of the following is not true for the Permanent Split Capacitor (PSC) Induction Motor?

1. It has only one capacitor in series with starting winding.
2. It has a starting switch.
3. The stator has two windings - main and auxiliary winding
4. It has a case rotor and stator

Correct Ans: B

Solution:

\(\Rightarrow\) Permanent Split Capacitor (PSC) Induction Motor does not have any starting switch.

QEE60.In the 180° conduction mode of a three-phase inverter, each device is turned on for 60° at regular intervals. Find the sequence of operations from the below diagram.

1. \(Q_1,\:Q_2,\:Q_3,\:Q_6,\:Q_5,\:Q_4,\:\)
2. \(Q_1,\:Q_3,\:Q_2,\:Q_4,\:Q_5,\:Q_6,\:\)
3. \(Q_1,\:Q_6,\:Q_2,\:Q_5,\:Q_3,\:Q_4,\:\)
4. \(Q_1,\:Q_2,\:Q_3,\:Q_4,\:Q_5,\:Q_6,\:\)

Correct Ans: D

Solution:

QEK1.Select the most appropriate option to fill in the blank.

I experienced a feeling akin ________ remorse.

1. of
2. with
3. by
4. to

Correct Ans: D

Solution:

QEK2.Select the option that will improve the underline part of the given sentence. In case no improvement is need, select 'No improvement required'.

Every boy and every girl in this class pursue at the least one hobby.

1. No improvement required
2. Pursue in the least
3. Pursues at least
4. Pursue at least

Correct Ans: C

Solution:

QEK3.Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

A. dependent on the Mercy of

B. of their farmlands

C. rains for the irrigation

D. farmers are no longer

1. DBAC
2. CBAD
3. CADB
4. DACB

Correct Ans: D

Solution:

QEK4.Select the most appropriate ANTONYM of the given word.

Vexation

1. Irritation
2. Agitation
3. Annoyance
4. Happiness

Correct Ans: D

Solution:

QEK5.select the correct spelt word.

1. Beneficial
2. Benificial
3. Benefacial
4. Benifecial

Correct Ans: A

Solution:

QEK6.Select the most appropriate option to fill in the blanks.

He began his career as _______ ordinary lawyer but retired as ________ Chief Justice of India.

1. a, a
2. an, the
3. an, a
4. the, the

Correct Ans: B

Solution:

QEK7.Part of the following sentence have been given as options. Select the option that contains an error.

He lost his heart when he had to face failures in life.

1. when he had
2. He lost his heart
3. in life
4. to face failures

Correct Ans: B

Solution:

QEK8.Select the option that can be used as a one-word substitute for the given group of the words.

Practice of being married to only one person at a time.

1. Monotony
2. Monogamy
3. Origami
4. Bigamy

Correct Ans: B

Solution:

QEK9.Select the INCORRECTLY spelt word.

1. Eligible
2. Elementry
3. Ammunition
4. Apparatus

Correct Ans: B

Solution:

QEK10.Select the most appropriate synonym of the given word.

Indignation

1. Vanity
2. Despair
3. Depression
4. Resentment

Correct Ans: D

Solution:

QGK1.On June 2, 2022, SBI revised India's GDP forecast for FY23 to _________.

1. 7.75%
2. 7.25%
3. 7.50%
4. 7.05%

Correct Ans: C

Solution:

QGK2.What was the name of the historic horse of Maharana Pratap? The horse saved his life in the Battle of Haldighati.

1. Chetak
2. Badal
3. Kanthaka
4. Rudra

Correct Ans: A

Solution:

QGK3.The Niagara River Serves as an international border between the USA and _________.

1. Bahamas
2. Russia
3. Canada
4. Mexico

Correct Ans: C

Solution:

QGK4.What is the full form of CCI, which is the chief national competition regulator in India?

1. Committee of Competition of India
2. Commission of Competition of India
3. Competition Commission of India
4. Competition Companies in India

Correct Ans: C

Solution:

QGK5.Which of the following states is famous for Kalamkari fabric?

1. Rajasthan
2. Andhra Pradesh
3. Punjab
4. Haryana

Correct Ans: B

Solution:

QGK6.The feature film, 'mujib-the making of a nation' portrays India's relations with which of the following neighbouring countries?

1. Bangladesh
2. Pakistan
3. Myanmar
4. Nepal

Correct Ans: A

Solution:

QGK7.Identify the current Chief Minister of the Southern state of Tamil Nadu.

1. MK Stalin
2. Edappadi PalaniSwami
3. O Paneerselvam
4. Kanimozhi Karunanidhi

Correct Ans: A

Solution:

QGK8.With reference to MRTP Act, what is the full form of MRTP?

1. Monopolies and Restrictive Trade Promotion
2. Monopolies and Restrictive Transaction Practices
3. Monopolies and Restrictive Trade Policy
4. Monopolies and Restrictive Trade Practices

Correct Ans: D

Solution:

QGK9.King Ashoka was given the title "DevanamPiyaPiyadasi". What is the meaning of this title?

1. Near to the Gods
2. Beloved of the Gods
3. Angel of the Gods
4. Messenger of the Gods

Correct Ans: B

Solution:

QGK10.In which of the following state is Kolia Bhomora Setu located?

1. Punjab
2. Himachal Pradesh
3. Assam
4. Karnataka

Correct Ans: C

Solution:

QGL1." પ્રખ્યાત " નો વિરુદ્ધાર્થી શોધો.

1. પ્રસિદ્ધ
2. અલ્પખ્યાત
3. સુખ્યાત
4. વિખ્યાત

Correct Ans: B

Solution:

QGL2." લેખે લાગવું " રૂઢિપ્રયોગનો અર્થ આપો.

1. ઇનામ લાગવું
2. લખવું
3. લાગી આવવું
4. ઉપયોગી થવું

Correct Ans: D

Solution:

QGL3.પિન - પીન' સાચો અર્થભેદ કયો?

1. દમન - વમન
2. સાડી - પાલવ
3. ટાંકણી - પુષ્ટ
4. કાંટો - ફૂલ

Correct Ans: C

Solution:

QGL4." પુર - પૂર " સાચો શબ્દભેદ કયો?

1. પૂર્ણ - અપૂર્ણ
2. ગામ - તાણ
3. ગરીબ - તવંગર
4. શહેર - રેલ

Correct Ans: D

Solution:

QGL5." રામ ગયા. લક્ષ્મણ ગયા. " સયુંકત વિધાન બનાવો.

1. રામ અને લક્ષ્મણ ગયા.
2. રામ ગયા. લક્ષ્મણ ગયા.
3. રામ ગયા; લક્ષ્મણ ગયા.
4. રામ : લક્ષ્મણ ગયા.

Correct Ans: A

Solution:

QGL6." હું વનમાં જવાનો વિચાર કરું છું " વિધાનને કર્મણિ બનાવો.

1. હું વનમાં જવાનો વિચાર કરીશ
2. મારાથી વનમાં જવાનો વિચાર ન કરાય છે
3. મારાથી વનમાં જવાનો વિચાર કરાય છે
4. હું વનમાં જઈશ

Correct Ans: C

Solution:

QGL7." વિમલથી કવિતા કહી શકાય છે " વિધાનને કર્તરિ બનાવો.

1. વિમલ કવિતા કહે, તો થાય
2. વિમલ કવિતા કહી શકશે
3. વિમલ કવિતા કહી શકે છે
4. વિમલ કવિતા કહેતો નથી

Correct Ans: C

Solution:

QGL8." જગ " નો સમાનાર્થી શોધો.

1. માટલું
2. વિશ્વ
3. પ્યાલો
4. જલપાત્ર

Correct Ans: B

Solution:

QGL9.નીચેનામાંથી શુદ્ધ વિધાન શોધો.

1. ગીતાબહેન આજે મોડા આવ્યા
2. શિક્ષકે તેમણે કાગળ લખાવ્યો
3. વિનોબા આજે જ આવ્યા
4. મનોજે કાગળનો વાધ બનાવ્યો

Correct Ans: C

Solution:

QGL10.અશુદ્ધ વિધાન શોધો.

1. તમે વાયા વિરમગામ થઈને આવજો
2. આજે સારું લાગે છે
3. તમારી જરૂર નથી
4. તમારો આભાર માનું છું

Correct Ans: A

Solution:

QCK1.A _____ is a set of rules that computers use to communicate with each other across a network.

1. URL
2. number address
3. network protocol
4. bandwidth

Correct Ans: C

Solution:

QCK2.The entire process of loading an Operating System into the RAM is referred to as ______ of the computer.

1. managing
2. processing
3. controlling
4. booting

Correct Ans: D

Solution:

QCK3.A _____ is a program that controls the interface between a computer and the connected peripheral devices.

1. kernel
2. shell
3. memory
4. device driver

Correct Ans: D

Solution:

QCK4._______ is a type of Transmission where bits of data flow one by one sequentially through a single communication line.

1. serial transmission
2. virtual transmission
3. synchronous transmission
4. parallel transmission

Correct Ans: A

Solution:

QCK5.In MS Excel 2010, a/an _____ chart plots two groups of numbers as one series of XY coordinates.

1. scatter
2. pie
3. stock
4. area

Correct Ans: A

Solution:

QCK6.A file infecting virus infects files with _____ extensions.

1. .doc and .xls
2. .exe and .com
3. .ppt and .pxs
4. .y2k and .wmk

Correct Ans: B

Solution:

QCK7._______ is a non volatile memory.

1. ROM
2. SRAM
3. DRAM
4. RAM

Correct Ans: A

Solution:

QCK8.In MS Excel 2019, which of the following allows one to illustrate workbook data graphically, making it easy to visualise comparisons and trends?

1. Pivot table
2. Autosum
3. Autofill
4. Charts

Correct Ans: D

Solution:

QCK9._____ is a type of software that records and saves payment information and other sensitive information and sends it to the hacker.

1. Kaspersky
2. Spyware
3. Skrenta
4. Spam

Correct Ans: B

Solution:

QCK10.Which of the following Technologies is used in third generation computers?

1. Artificial Intelligence
2. Integrated circuit
3. Vacuum tubes
4. Transistors

Correct Ans: B

Solution:

QEE1.If the series field flux opposes the shunt field flux in a DC generator, the generator is said to be a:

1. separately excited DC generator
2. cumulatively compounded generator
3. self-excited DC generator
4. differentially compounded generator

Correct Ans: D

Solution:

\(\Rightarrow\) Compound DC generator is having both series and shunt windings.

\(\Rightarrow\) If the series field flux opposes the shunt field flux in a DC generator, the generator is said to be a differentially compounded generator.

\(\Rightarrow\) If the series field flux supports the shunt field flux in a DC generator, the generator is said to be a cumulatively compounded generator.

QEE2.The symmetrical components, meant for solution to unbalanced system are:

1. equal in length to adjacent vectors
2. equal in phase angles with adjacent vectors
3. In opposition to adjacent vectors
4. equal in length and have equal phase angles between adjacent vectors

Correct Ans: D

Solution:

QEE3.The efficiency (%\( \eta\)) of transformer in case of fractional load, where n (Actual load/full load) is less than 1 is given by:

1. %\( \eta = \frac{n (VA \: rating) \: \cos{\phi_2}}{nP_{cu} F.L. + n^2 P_i + n (VA \: rating) \: \cos{\phi_2}} \times 100\)
2. %\( \eta = \frac{n (VA \: rating) \: \cos{\phi_2}}{n^2P_{cu} F.L. + P_i + n (VA \: rating) \: \cos{\phi_2}} \times 100\)
3. %\( \eta = \frac{n (VA \: rating) \: \cos{\phi_2}}{P_{cu} F.L. + P_i + n (VA \: rating) \: \cos{\phi_2}} \times 100\)
4. %\( \eta = \frac{n (VA \: rating) \: \cos{\phi_2}}{P_{cu} F.L. + nP_i + n (VA \: rating) \: \cos{\phi_2}} \times 100\)

Correct Ans: B

Solution:

The efficiency (%\( \eta\)) of transformer in case of fractional load, where n (Actual load/full load) is less than 1 is given by:


%\( \eta = \frac{n (VA \: rating) \: \cos{\phi_2}}{n^2P_{cu} F.L. + P_i + n (VA \: rating) \: \cos{\phi_2}} \times 100\)

QEE4.A 3-phase induction motor runs with a slip of 4% and develops mechanical power of 1920 W. Find the rotor copper losses.

1. 40 W
2. 120 W
3. 80 W
4. 160 W

Correct Ans: C

Solution:

\(\Rightarrow\) For an induction motor


Rotor input or airgap power \( P_{in} = \frac{3 I_2^2 R_2}{s} \)


Rotor copper losses \( P_{cu} = s \times P_{in} = 3 I_2^2 R_2 \)


Mechanical output power \( P_o = P_{in} - P_{cu} = \frac{3 I_2^2 R_2}{s} - 3 I_2^2 R_2 \)


\(\implies\) \( P_o = 3 I_2^2 R_2 (\frac{1-s}{s}) \)


\(\implies\) \( P_o = P_{cu} (\frac{1-s}{s}) \)


\(\implies\) \( P_{cu} = P_o (\frac{s}{1-s}) \)


\(\implies\) \( P_{cu} = 1920 \times (\frac{0.04}{0.096}) \)


\(\implies\) \( P_{cu} = 80 \: W \)

QEE5.Determine the value of ‘\(V_s\)’ and ‘\(R\)’ so that the circuits shown as (a) and (b) are equivalent to each other.

1. \( V_s = 24 \: V,\:\: R=4 \: \Omega \)
2. \( V_s = 24 \: V,\:\: R=8 \: \Omega \)
3. \( V_s = 12 \: V,\:\: R=4 \: \Omega \)
4. \( V_s = 12 \: V,\:\: R=8 \: \Omega \)

Correct Ans: B

Solution:

\(\mathbf{Given \:data:}\)

\(\Rightarrow\) \(I=3\:A,\:R=8\:\Omega\)

As per Figure mention in question, Voltage to Current Source Transformation

\(I=\frac{V_s}{R}\implies V_s=I \times R=3 \times 8=24\:V\)

Internal resistance of the equivalent current source has the same value as the internal resistance of the voltage source. Therefore, \(R=8\:\Omega\)

\(\mathbf{Note:}\)


\(\mathbf{According\: to \:Source \:transformation:}\)

\(\Rightarrow\) A practical voltage source of constant voltage V and internal resistance \(R_{int}\) is equivalent to a current source of current \(I=\frac{V}{R_{int}}\) and internal resistance \(R_{int}\) in parallel with current source.

\(\Rightarrow\) Internal resistance of the equivalent current source has the same value as the internal resistance of the voltage source.

QEE6.During load flow analysis using the voltage-controlled buses, which quantities are specified?

1. Real power and voltage magnitude
2. Real power and reactive power
3. Voltage magnitude and phase angle
4. Reactive power and phase angle

Correct Ans: A

Solution:

QEE7.Solve the following:

\( \frac{dy}{dx} = \frac{x}{1+x^2} \)

1. \( 2y = \log{(1+x^2)} +c\)
2. \( 2y = \log{(1+x)} +c\)
3. \( 2y = \log{x^2} +c\)
4. \( 2y = \log{x} +c\)

Correct Ans: A

Solution:

Given,


\( \frac{dy}{dx} = \frac{x}{1+x^2} \)


\(\implies dy = \frac{x}{1+x^2} dx\)


Apply integrate both side,


\(\implies\int dy = \int \frac{x}{1+x^2} dx\)


Take \(t = x^2, dt = 2x \: dx \implies x dx = \frac{1}{2} dt\)


\(\implies y = \int \frac{dt}{2(1+t)}\)


\(\implies 2y = log(1+t) + C\)


\(\implies 2y = log(1+x^2) + C\)

QEE8.


Potential at every point on the spherical surface is:

1. \( V_R = \frac{Q}{2R\pi \varepsilon_r \varepsilon_0 } \)
2. \( V_R = \frac{Q}{2R\pi \varepsilon_0 \varepsilon_r } \)
3. \( V_R = \frac{Q}{4R\pi \varepsilon_0 } \)
4. \( V_R = \frac{Q}{4R\pi \varepsilon_r } \)

Correct Ans: C

Solution:

\(\Rightarrow\) Potential at every point on the spherical surface having radius R containing charge Q inside is:


\( V_R = \frac{Q}{4R\pi \varepsilon_0 } \)

QEE9.Which of the following is a magnetic sensor?

1. Hall effect sensor
2. Strain gauge
3. Thermistor
4. Thermocouple

Correct Ans: A

Solution:

\(\Rightarrow\) The hall effect sensor is a type of transducer used for measuring the magnetic field by converting it into an emf.

\(\Rightarrow\) The transducer converts the magnetic field into an electric quantity which is easily measured by the analogue and digital meters.

QEE10.Select the equation of motion of the three-phase synchronous alternator rotor, that is driven by a prime mover.

(Consider J is the total moment of inertia of the rotor mass in \(kg m^2 \), \(T_m\) is the mechanical torque supplied by the prime mover in N-m, \(T\), is the electrical torque output of the alternator in N-m and \(\theta \) is the angular position of the rotor in radian.)

1. \( J\frac{d^2\theta}{dt^2} = T_m^2 - T_e^2 \)
2. \( J\frac{d\theta}{dt} = T_m^2 - T_e^2 \)
3. \( J\frac{d\theta}{dt} = T_m - T_e \)
4. \( J\frac{d^2\theta}{dt^2} = T_m - T_e \)

Correct Ans: D

Solution:

\(\Rightarrow\) Equation of motion of the three-phase synchronous alternator rotor, that is driven by a prime mover is given by:


\( J\frac{d^2\theta}{dt^2} = T_m - T_e \)

QEE11.As per the sampling theorem what should be the relation between the frequency of sampling signal \(\omega_s\) and cut-off frequency \(\omega_M\) for a low pass filter?

1. \( \omega_s > \frac{\omega_M}{2} \)
2. \( \omega_s < \omega_M \)
3. \( \omega_s > 2 \:\omega_M \)
4. \( \omega_s = \omega_M \)

Correct Ans: C

Solution:

\(\Rightarrow\) As per the sampling theorem, the sampling frequency \(\omega_s\) must be atleast twice of the maximum frequency or cut-off frequency \(\omega_M\).

\(\Rightarrow\) \(\omega_s > 2\:\omega_M\)

QEE12.With reference to armature reaction in DC motors, state true/false for the following statements.

1. Armature reaction is the effect of armature flux on main flux.

2. Interpoles are used to neutralise the effect of armature reaction.

1. Statement 1 is false and statement 2 is true
2. Statement 1 is true and statement 2 is false
3. Both statements are false
4. Both statements are true

Correct Ans: D

Solution:

\(\Rightarrow\) Armature reaction is the effect of the flux set up by the currents in the armature winding, on the main field flux.

\(\Rightarrow\) Interpoles windings are connected in series with the armature so that any changes in the armature current due to armature reactance, loading, or self-inductance pass through the interpole windings.

\(\Rightarrow\) This creates a changing magnetic field equal to and opposite to that of the armature, thereby cancelling the effect.

QEE13.Evaluate \( y(t) \) from \( y(s) = \frac{2s}{(s+1)(s+2)} \)

1. \( Y(t) = 4e^{-2t} - 2e^{-t} \)
2. \( Y(t) = 4e^{-2t} + 2e^{-t} \)
3. \( Y(t) = 2e^{-2t} - 4e^{-t} \)
4. \( Y(t) = 2e^{-2t} + 4e^{-t} \)

Correct Ans: A

Solution:

Evaluate \( y(t) \) from \( y(s) = \frac{2s}{(s+1)(s+2)} \)

Here the denominator has non-repeated linear factors.

Let \(\frac{2s}{(s+1)(s+2)}=\frac{A}{s+1}+\frac{B}{s+2} \)

Multiplying both side by (s+1)(s+2)

We get 2s=A(s+2)+B(s+1)

Putting S=-2, We get \(B=4\)

Putting S=-1, We get \(A=-2\)

\(\therefore\) \(\frac{2s}{(s+1)(s+2)}=\frac{-2}{s+1}+\frac{4}{s+2} \)

Taking both side Inverse-Laplace transform

\(\therefore\) \(L^{-1}\lbrace\frac{2s}{(s+1)(s+2)}\rbrace=-2L^{-1}\lbrace\frac{1}{s+1}\rbrace +4L^{-1}\lbrace\frac{1}{s+2}\rbrace=-2e^{-t}+4e^{-2t}\)

QEE14.Which of the following is a DC bridge?

1. Schering’s bridge
2. Wien’s bridge
3. Kelvin’s bridge
4. Hay’s bridge

Correct Ans: C

Solution:

\(\Rightarrow\) Kelvin’s bridge is a DC bridge which is used for measurement of low resistance.

QEE15.A long shunt DC compound generator delivers 110 KW at 220 volts. If \(R_a = 0.01\) ohms, \(R_{se} = 0.002\) ohms and shunt field resistance is of 110 ohms, calculate the value of induced EMF. (consider up to one decimal place)

1. 268.4 V
2. 186.5 V
3. 237 V
4. 226 V

Correct Ans: D

Solution:

Equivalent circuit diagram of long shunt DC compound generator is as shown below,




\(P_L = 110 \:kW\) and \( V_L = 220 \: V\),


So, \(I_L = \frac{P_L}{V_L}= \frac{110000}{220} = 500 \: A\)


Shunt field current \( I_{sh} = \frac{220}{110} = 2\: A \)


Armature current \( I_a = I_L + I_{sh} = 502 \: A \)


Induced EMF \( E_g = V_L + I_a (R_{se} + R_A) = 220 + 502 \times (0.002 + 0.01)\)


\( E_g = 220 + 502 \times (0.012 ) =226.024 \: V\)

QEE16.Find the output voltage for the following circuit if the input voltage is 0.5 V.

1. \(1.25 V \)
2. \(-2.5 V \)
3. \(-1.25 V \)
4. \(2.5 V \)

Correct Ans: C

Solution:

\(\Rightarrow\) Figure shows the inverting amplifier using op-amp.
\(\Rightarrow\) The output of inverting amplifier is \(V_{O} = -\frac{R_f}{R_1} V_{in}\)
\(\implies V _{O} = (-\frac{25\:k}{10 \:k}) 0.5\)

\(\implies V _{O} =-1.25\: V\)

QEE17.Which of the following is NOT true for a slip ring induction motor?

1. Since the rotor bars are permanently shorted, it is not possible to add external resistance.
2. The rotor winding is similar to the stator winding.
3. Rotor copper losses are high and hence less efficiency.
4. Construction is complicated due to presence of slip ring and brushes.

Correct Ans: A

Solution:

\(\Rightarrow\) In a slip ring induction motor

\(\rightarrow\) The rotor winding is similar to the stator winding.

\(\rightarrow\) Rotor copper losses are high and hence less efficiency.

\(\rightarrow\) Construction is complicated due to presence of slip ring and brushes.

QEE18.The matrix A is the inverse of a matrix B. If ‘I’ denotes the identity matrix, then identify the correct option related to them.

1. \( BA=I \: and \: AB=0 \)
2. \( AB-BA=I \)
3. \( AB=I \: and \: BA=0 \)
4. \( AB=BA=I \)

Correct Ans: D

Solution:

Given,

\(A = B^{-1}\)


\(\rightarrow\) Post Multiply with \(B\) matrix,

\(\implies AB = B^{-1}B = I\)


\(\rightarrow\) Pre Multiply with \(B\) matrix,

\(\implies BA = BB^{-1} = I\)


\(\therefore AB=BA=I\)

QEE19.Which of the following is truly a disadvantage of Maxwell’s inductance bridge?

1. This bridge cannot be used to test the heavy current carrying coils irrespective of any adjustments.
2. The balanced equation is dependent on the frequency of measurement.
3. The scale does not give the inductance directly.
4. It cannot be used for measurement of high Q values.

Correct Ans: D

Solution:

\(\Rightarrow\) Maxwell’s inductance bridge cannot be used for measurement of high Q values.

QEE20.A series RLC resonant circuit resonates at 850 Hz. If the bandwidth is 150 Hz, find the upper cutoff frequency.

1. 875 Hz
2. 925 Hz
3. 1000 Hz
4. 900 Hz

Correct Ans: B

Solution:

\(\mathbf{Given \:data:}\)

\(\Rightarrow\) Resonance Frequency \(f_r=850\:Hz\)

\(\Rightarrow\) Bandwidth \(BW=150\:Hz\)


\(f_2\) - Upper cut-off frequency (Upper half-power frequency)

\(f_2=f_r+\frac{1}{2}B.W=850+\frac{150}{2}=925\:Hz\)

\(f_1\) - Lower cut-off frequency (Lower half-power frequency)

\(f_1=f_r-\frac{1}{2}B.W=850-\frac{150}{2}=775\:Hz\)

\(\mathbf{Note:}\)


\(\mathbf{Series\:Resonance:}\)

\(\mathbf{Resonance\:Curve}\)



\(\Rightarrow\) Two points A and B on the resonance curve are known as half-power points.

\(\Rightarrow\) \(f_1\) - Lower cut-off frequency (Lower half-power frequency)

\(\Rightarrow\) \(f_2\) - Upper cut-off frequency (Upper half-power frequency)

\(\Rightarrow\) \(f_r\) - Resonance frequency is the Geometric mean of the two half power frequencies.

\(\Rightarrow\) Bandwidth (B.W) \(=f_2-f_1\)

\(\Rightarrow\) At below resonance frequency, Circuit behaves like a capacitive circuit \((X_C > X_L)\)

\(\Rightarrow\) At above resonance frequency, Circuit behaves like an inductive circuit \((X_L > X_C)\)

\(\Rightarrow\) At resonance frequency, Circuit behaves like a purely resistive circuit \((X_L = X_C)\)

QEE21.Which filter exhibits the following characteristics?

1. Band stop filter
2. Low pass filter
3. Band pass filter
4. High pass filter

Correct Ans: D

Solution:

\(\Rightarrow\) As shown in the characteristics, the circuit offers zero gain to the signals with frequency less than the cut off frequency \(f_c\) and offers high gain to the signals with frequency more than cut off frequency \(f_c.\)
\(\Rightarrow\) That means the characteristics shown in figure is of high pass filter, which allows high frequency signals to pass through.

QEE22.Which of the following is NOT true for the maximum torque in the three-phase induction motor?

1. When the slip is half of the ratio of rotor resistance to that of rotor reactance, the torque will be maximum.
2. By varying the rotor resistance, a maximum torque can be obtained at any required slip.
3. The maximum torque is directly proportional to square of rotor induced EMF at the standstill.
4. The maximum torque is inversely proportional to the rotor reactance.

Correct Ans: A

Solution:

Slip at maximum torque:


\(s_{max} =\frac{R_m}{X_m} \)


\(\rightarrow\) By varying the rotor resistance, a maximum torque can be obtained at any required slip.

Maximum torque is given by

$$ T_{max} = \frac{180}{2 \pi N_s} \frac{V^2}{2X_2} $$
\(\rightarrow\) The maximum torque is directly proportional to square of rotor induced EMF at the standstill.


\(\rightarrow\) The maximum torque is inversely proportional to the rotor reactance.

QEE23.Identify the gate shown.

1. NOR
2. XNOR
3. XOR
4. OR

Correct Ans: C

Solution:

QEE24.Determine the power rating of a device which is rated at 15A, 250 V.

1. 37.5 kW
2. 3750 W
3. 22.5 kW
4. 375 W

Correct Ans: B

Solution:

\(\Rightarrow\) Power rating of device = Current rating \(\times\) Voltage rating
\(\Rightarrow\) Power rating of device = 15 \(\times\) 250 = 3750 W

QEE25.Evaluate the following:


\(\int \sec^2 (3 + 4x) \:dx\)

1. \(\frac{1}{4} \tan(3+4x)\)
2. \(\frac{1}{4} \cot(3+4x)\)
3. \(\frac{1}{4} \sec(3+4x)\)
4. \(\frac{1}{4} \cos(3+4x)\)

Correct Ans: A

Solution:

\(\int \sec^2 (3 + 4x) \:dx\)


\(\rightarrow\) Take \(u = 3+4x\)

\(\implies du = 4 \: dx\)


\(\implies dx = \frac{1}{4} du\)


\(\rightarrow\) Put value in main equation,


\(\int \sec^2 (3 + 4x) \:dx\)


\(=\int \frac{1}{4} \sec^2 u du\)


\(=\frac{1}{4} tan \:u = \frac{1}{4} tan(3+4x)\)

QEE26.Which of the following logic gate is used for the sum in a half adder?

1. OR gate
2. Exclusive OR gate
3. AND gate
4. NAND gate

Correct Ans: B

Solution:

\(\Rightarrow\) Boolean expression of sum of half adder = \(A \oplus B\)
\(\Rightarrow\) This can be directly implement using Ex-OR gate.

QEE27.A three-phase three-wire supply feeds a delta connected load consisting of three equal resistors. What will be the reduction in load if one of the resistor is removed?

1. 50%
2. 16.67%
3. 33.33%
4. 8.33%

Correct Ans: C

Solution:

\(\mathbf{For \:delta\: connected \:load:}\)

\(\Rightarrow\) A three-phase three-wire supply feeds a delta connected load consisting of three equal resistors. \(33.33 \%\) of reduction in load if one of the resistor is removed.

\(\mathbf{For \:star\: connected \:load:}\)

\(\Rightarrow\) A three-phase three-wire supply feeds a star connected load consisting of three equal resistors. \(50 \%\) of reduction in load if one of the resistor is removed.

QEE28.Which type of amplifier is used in the input stage of the operational amplifier?

1. Push-pull complementary amplifier
2. Emitter follower amplifier
3. Balanced output differential amplifiers
4. Emitter coupled amplifier

Correct Ans: C

Solution:

\(\Rightarrow\) The differential amplifier amplifies the difference of input signals.
\(\Rightarrow\) It also provides high input impedance.

QEE29.Which of the following is NOT true for a signal flow graph (SFG)?

1. SFG is applied to both linear and complex systems.
2. Overall gain of an SFG can be determined by using Mason's gain formula.
3. SFG of a system is not unique
4. Algebraic sum of all incoming signals and outgoing nodes is zero in SFG.

Correct Ans: A

Solution:

\(\Rightarrow\) SFG is applicable for Linear Time-invarient Systems only.

QEE30.


From the Bode plot for lag compensator, find the angular frequency \(\omega_m\) at which the maximum phase lead occurs.


Consider \(\tau = R_2C, \quad \beta = \frac{R_1+R_2}{R_2}>1. \)

1. \(\omega_m = \frac{1}{\tau \sqrt{\beta}}\)
2. \(\omega_m = \frac{\sqrt{\beta}}{\tau }\)
3. \(\omega_m = \frac{1}{\tau \:\beta}\)
4. \(\omega_m = \frac{1}{\sqrt{\beta \:\tau}}\)

Correct Ans: A

Solution:

\(\Rightarrow\) Maximum phase lead frequency: \(\omega_m = \frac{1}{\tau \sqrt{\beta}}\)


\(\Rightarrow\) Maximum phase lead: \(\phi_m=\sin^{-1} \Big (\frac{a-1}{a+1} \Big ) \)

QEE31.The number of pulses (P) per half-cycle in case of uniform pulse-width modulation (UPWM) is:

(Consider \(m_f\) as modulation frequency ratio)

1. \(P=\frac{m_f}{4}\)
2. \(P=\frac{m_f}{2}\)
3. \(P=2\:m_f\)
4. \(P=m_f\)

Correct Ans: B

Solution:

QEE32.In a RLC series circuit, the frequency is above the resonance frequency. What will be the power factor?

1. Lagging, \(< 1\)
2. 1
3. Leading, \(< 1\)
4. 0

Correct Ans: A

Solution:

\(\mathbf{Series\:Resonance:}\)

\(\mathbf{Resonance\:Curve}\)



\(\Rightarrow\) Two points A and B on the resonance curve are known as half-power points.

\(\Rightarrow\) \(f_1\) - Lower cut-off frequency (Lower half-power frequency)

\(\Rightarrow\) \(f_2\) - Upper cut-off frequency (Upper half-power frequency)

\(\Rightarrow\) \(f_r\) - Resonance frequency is the Geometric mean of the two half power frequencies.

\(\Rightarrow\) Bandwidth (B.W) \(=f_2-f_1\)

\(\Rightarrow\) At below resonance frequency, Circuit behaves like a capacitive circuit \((X_C > X_L)\)

\(\Rightarrow\) At above resonance frequency, Circuit behaves like an inductive circuit \((X_L > X_C)\)

\(\Rightarrow\) At resonance frequency, Circuit behaves like a purely resistive circuit \((X_L = X_C)\)

QEE33.


Find the value of \(I_2\).

1. \(I_2 = I_1-I_3+I_4-I_5\)
2. \(I_2 = I_1+I_3+I_4+I_5\)
3. \(I_2 = I_1+I_3+I_4-I_5\)
4. \(I_2 = I_5-I_1-I_3-I_4\)

Correct Ans: C & D

Solution:

\(\Rightarrow\) \(\mathbf{Correct \: answer : \: C \: \& \: D}\)
At node P, applying KCL

Consider current \(I_2\) leaving the junction

\(I_2+I_5=I_1+I_3+I_4\implies I_2=I_1+I_3+I_4-I_5\)

Consider current \(I_2\) entering the junction

\(I_5=I_1+I_2+I_3+I_4\implies I_2=I_5-I_1-I_3-I_4\)


\(\mathbf{Note:}\)

\(\mathbf{Kirchhoff's \:Current\: Law\: (KCL):}\)

KCL law states that the total current entering a circuits junction is exactly equal to the total current leaving the same junction.This law represents conversation of charge.

QEE34.The clock input is applied in asynchronous counter:

1. to selective flip-flops
2. only to the first flip-flop
3. only to the last flip-flop
4. to all the flip-flops

Correct Ans: B

Solution:

\(\Rightarrow\) In asynchronous circuit, the clock pulse is given to the first flip flop only.
\(\Rightarrow\) Then output of first flip flop will drive the second flip flop and so on...

QEE35.The coefficient of coupling between two coils is \(0.7\). If the mutual inductance between the two coils is \(70\: mH\) and the self-inductance of one coil is \(80\: mH\). Then find the self-inductance of the second coil.

1. 100 mH
2. 80 mH
3. 125 mH
4. 70 mH

Correct Ans: C

Solution:

\(\mathbf{Given \:data:}\)

\(K=0.7,\:M=70\:mH,\:L_1=80\:mH\)


Coefficient of coupling \(K=\frac{M}{\sqrt{L_1L_2}}\)

Where

\(L_1 =\)self-inductance of the first coil

\(L_2 =\)self-inductance of the second coil

M-mutual inductance between first coil and second coil



\(K=\frac{M}{\sqrt{L_1L_2}}\implies L_2=\frac{M^2}{K^2\times L_1}=\frac{(70)^2}{(0.7)^2\times 80}=125\:mH\)

QEE36.Identify the equation of a synchronous motor when operating in legging power factor.

1. \(E_f^2 = (V_t \cos \phi -I_aR_a)^2 + (V_t\sin \phi - I_aX_s)^2 \)
2. \(E_f^2 = (V_t -I_aR_a)^2 + (I_aX_s)^2 \)
3. \(E_f^2 = (V_t \cos \phi -I_aR_a)^2 + (V_t\sin \phi + I_aX_s)^2 \)
4. \(E_f^2 = (V_t \cos \phi +I_aR_a)^2 + (V_t\sin \phi + I_aX_s)^2 \)

Correct Ans: A

Solution:

\(\Rightarrow\) Equation of synchronous motor when operating in leading power factor is given by


\(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi + I_aX_s)^2\)


\(\Rightarrow\) Equation of synchronous motor when operating in lagging power factor is given by


\(E_f^2 = (V_t \cos \phi - I_aR_a)^2 +(V_t \sin \phi - I_aX_s)^2\)

QEE37.<br><br>
What will be the current in the inductor in a series RL circuit when the DC source is used as a excitation?

1. \(I_L = \frac{V}{R} \Big (1-e^{-t\frac{R}{L}} \Big ) \)
2. \(I_L = \frac{V}{R} \Big (e^{-t\frac{R}{L}} \Big ) \)
3. \(I_L = \frac{V}{R} \Big (e^{t\frac{R}{L}} \Big ) \)
4. \(I_L = \frac{V}{R} \Big (1-e^{t\frac{R}{L}} \Big ) \)

Correct Ans: A

Solution:

Applying KVL to the given circuit

\(V=V_R+V_L\)

\(V=iR+L\frac{di}{dt}\)

\(\frac{di}{V-iR}=\frac{1}{L}dt\)

Multiplying both sites by (-R)

\(\frac{(-R) di}{V-iR}=\frac{-R}{L}dt\)

Integration on both sides

\(\int \frac{(-R) di}{V-iR} =\int \frac{-R}{L}dt +C\)

\(\log_e(V-iR)=\frac{-Rt}{L}+C\)........(1)

\(i=0\) when \(t=0\) put in equ(1)

\(\log_e V=C\) value put in equ(1)

\(\log_e(V-iR)=\frac{-Rt}{L}+\log_eV\)

\(\log_e(V-iR)-\log_eV=\frac{-Rt}{L}\)

\(\log_e(\frac{V-iR}{V})=\frac{-Rt}{L}\)

\((\frac{V-iR}{V})=e^{\frac{-Rt}{L}}\)

\(V-iR=Ve^{\frac{-Rt}{L}}\)

\(iR=V[1-e^{\frac{-Rt}{L}}]\)

\(i=\frac{V}{R}[1-e^{\frac{-Rt}{L}}]\)

QEE38.As per coulomb's law, electric field intensity (E) for a simple point charge is: (Consider R as radius of sphere)

1. \(\frac{1}{4\pi \varepsilon_r} \Big (\frac{Q}{R^2} \Big ) \:V/m \)
2. \(\frac{1}{4\pi \varepsilon_0} \Big (\frac{Q}{R} \Big ) \:V/m \)
3. \(\frac{1}{4\pi \varepsilon_0} \Big (\frac{Q}{R^2} \Big ) \:V/m \)
4. \(\frac{1}{4\pi \varepsilon_r} \Big (\frac{Q}{R} \Big ) \:V/m \)

Correct Ans: C

Solution:

\(\Rightarrow\) As per coulomb's law, electric field intensity E at a distance of R for a simple point charge is:


\(\frac{1}{4\pi \varepsilon_0} \Big (\frac{Q}{R^2} \Big ) \:V/m \)

QEE39.What is the output voltage \((V_{dc})\) of the three-phase full converter?
Take \(V_m\) as the phase voltage.

1. \(V_{dc} = \frac{V_m3\sqrt{3}}{\pi} \:\cos \alpha\)
2. \(V_{dc} = \frac{V_m3\sqrt{3}}{2\pi} \:\cos \alpha\)
3. \(V_{dc} = \frac{V_m\sqrt{3}}{2\pi} \:\cos \alpha\)
4. \(V_{dc} = \frac{V_m\sqrt{3}}{\pi} \:\cos \alpha\)

Correct Ans: A

Solution:

QEE40.Find \(\frac{dy}{dx}\), where \(y=me^{5x}\).

1. \(\frac{dy}{dx} = 5e^{5x}\)
2. \(\frac{dy}{dx} = 5x\)
3. \(\frac{dy}{dx} = 5y\)
4. \(\frac{dy}{dx} = me^{5x}\)

Correct Ans: C

Solution:

Given,

\(y=me^{5x}\)


\(\implies \frac{dy}{dx} = \frac{d}{dx} me^{5x}= m \: e^{5x} \: 5 = 5y\)

QEE41.The voltage equation for the Piezoelectric transducer is given by \(E_0 = gtP\). What does \(t\) stand for, if \(g \) is called the voltage sensitivity of the crystal and \(P\) is the pressure on the crystal?

1. Thickness of crystal
2. Temperature
3. Stress on crystal
4. Time duration in seconds

Correct Ans: A

Solution:

\(\Rightarrow\) The voltage equation for the Piezoelectric transducer is given by \(E_0 = gtP\).

g = Voltage sensitivity of the crystal

t = Thickness of crystal

P = Pressure on the crystal

QEE42.What is the maximum firing angle possible with resistance triggering of SCR?

1. 90°
2. 45°
3. 27°
4. 18°

Correct Ans: A

Solution:

\(\Rightarrow\) In resistance triggering method, SCR is triggered using a diode and resistor network.
\(\Rightarrow\) When diode is forward biased the SCR will be triggered.
\(\Rightarrow\) The forward bias voltage is controlled by a potential divider using variable resistor.
\(\Rightarrow\) Triggering angle can be controlled up to 90° because the diode forward voltage can be controlled up to maximum value of input only.

QEE43.Hysteresis losses in a transformer are given by:
(Consider, \(B_m\) = maximum flux density, \(f\) = frequency, \(V\) = volume of core and \(K_h\) = hysteresis constant

1. Hysteresis losses = \(K_h \: B_m^{1.6}\:f^2\:V\)
2. Hysteresis losses = \(K_h \: B_m\:f^{1.6}\:V\)
3. Hysteresis losses = \(K_h \: B_m^2\:f^{1.6}\:V\)
4. Hysteresis losses = \(K_h \: B_m^{1.6}\:f\:V\)

Correct Ans: D

Solution:

\(\Rightarrow\) Hysteresis losses in a transformer are given by:


\(W_h = K_h \: B_m^{1.6}\:f\:V\)

QEE44.The rectangular coordinate system is a/an________coordinate system with coordinate axis defined x, y, and z.

1. Asymmetrical
2. Symmetrical
3. Spherical
4. Orthogonal

Correct Ans: D

Solution:

\(\Rightarrow\) The rectangular coordinate system is an orthogonal coordinate system with coordinate axis defined x, y, and z, since its coordinate surfaces \(x = constant\), \(y = constant\), and \(z = constant\) are planes that meet at right angles to one another.

\(\Rightarrow\) Same way cylindrical and spherical coordinate systems are also orthogonal.

QEE45.In a power system, the range of torque angle for which \(\frac{dp}{d\delta} \) is positive, lies between:

1. 0° and 180°
2. 0° and 90°
3. 90° and -90°
4. 0° and -90°

Correct Ans: C

Solution:

\(P = \frac{EV}{X}sin \delta\)


\(\rightarrow \frac{dp}{d\delta} \propto cos \delta\)

\(\implies \delta\) = \(-90^o \: to \: 90^o \) \(\implies\) \(\cos \delta\) is positive


\(\therefore\) \(\frac{dp}{d\delta}\) is positive for \(-90^o \: to \: 90^o \) angle range.

QEE46.Consider a propagation of an electromagnetic wave through a uniform dielectric medium of dielectric constant \(\varepsilon\). The dipole moment per unit volume \(P\) induced in the medium by the wave electric field \(E\) is:

1. \(P = \varepsilon_0 (\varepsilon + 1)E\)
2. \(P = \varepsilon (\varepsilon_0 - 1)E\)
3. \(P = \varepsilon_0 (\varepsilon - 1)E\)
4. \(P = \varepsilon (\varepsilon_0 + 1)E\)

Correct Ans: C

Solution:

\(\Rightarrow\)Consider a propagation of an electromagnetic wave through a uniform dielectric medium of dielectric constant \(\varepsilon\).


\(\Rightarrow\)The dipole moment per unit volume \(P\) induced in the medium by the wave electric field \(E\) is:


\(P = \varepsilon_0 (\varepsilon - 1)E\)

QEE47.Which controller will be used in the following controll system?

1. P
2. PI
3. PID
4. PD

Correct Ans: A

Solution:

\(\Rightarrow\) The controller has only Proportionality constant. So it is P Controller.

QEE48.The average value (DC value) of the output load voltage in phase controlled converter can be varied by:

1. by connecting inductor with thyristor
2. varying thyristor firing angle
3. by connecting snubber circuit with thyristor
4. connecting more number of thyristor in parallel

Correct Ans: B

Solution:

\(\Rightarrow\) The output load voltage in phase controlled converter can be varied by changing the thyristor firing angle.
\(\Rightarrow\) This method is known as delay firing angle method.
\(\Rightarrow\) As firing angle increases, the output voltage decreases and visa versa.

QEE49.If \(f(x,y) = x^2 + xyz +z\), then find the value of \(f_x\) at \((2,2,2).\)

1. 2
2. 8
3. 5
4. 3

Correct Ans: B

Solution:

Given,

\(f(x,y) = x^2 + xyz +z\)


\(\implies f_x = 2x + yz \)


\(\implies f_{{x}_{(2,2,2)}} = (2 \times 2) + (2 \times 2) = 8\)

QEE50.Find \(\frac{dy}{dx}\) for \(y = \cos(2-3x).\)

1. \(\frac{dy}{dx} = 3 \sin(2-3x)\)
2. \(\frac{dy}{dx} = 2 \sin(2-3x)\)
3. \(\frac{dy}{dx} = -2 \sin(2-3x)\)
4. \(\frac{dy}{dx} = -3 \sin(2-3x)\)

Correct Ans: A

Solution:

Given,

\(y = \cos(2-3x)\)


\(Take, \:f(x) = \cos \: x, g(x) = 2-3x\)


\(\Rightarrow\) Use Chain rule, \(\frac{d}{dx} f(g(x)) = f^{'}(g(x))g^{'}(x) \)


\(\rightarrow\) Take \(u = 2-3x\)


\(\implies \frac{d}{du}[\cos \: u] \frac{d}{dx}[2-3x]\) \((\because Chain \: rule ) \)


\(\frac{dy}{dx}=[- \sin \: u ] \times [-3] = 3 \sin (2-3x)\)

QEE51.Which of the following equations expresses Ampere's law for the electromagnetic field?
(Consider \(B\) as magnetic flux density, \(\mu_0\) is the permittivity of free space and \(I\) is the current in the magnetic field.)

1. \(\oint B.dl =\mu_0I\)
2. \(\oint B.dl =\frac{I}{\mu_0}\)
3. \(\oint H.dl =\mu_0I\)
4. \(\oint H.dl =\frac{I}{\mu_0}\)

Correct Ans: A

Solution:

\(\Rightarrow\) Ampere's law for the electromagnetic field can be expressed as:


\(\oint B.dl =\mu_0I\)

QEE52.In a one-line diagram, a short transmission line is represented by its______.

1. nominal \(\pi\) model
2. nominal \(T\) model
3. series impedance
4. shunt impedance

Correct Ans: C

Solution:

\(\Rightarrow\) Single line diagram: It is the representation of a power system network using the symbol for each component.

\(\implies\) The transmission line parameters are represented by series impedance in Short Transmission Line. \((\because\) Capacitance effect is neglected in short transmission line)

QEE53.From the above figure, the electric potential at point \(P(V_p)\) is given by:

1. \(V_p = \frac{1}{4\pi\varepsilon_r}\int_{v}^0 \frac{\rho_v dv}{P}V\)
2. \(V_p = \frac{1}{4\pi\varepsilon_0}\int_{v}^0 \frac{\rho_v dv}{R}V\)
3. \(V_p = \frac{1}{4\pi\varepsilon_0}\int_{v}^0 \frac{\rho_v dv}{P}V\)
4. \(V_p = \frac{1}{4\pi\varepsilon_r}\int_{v}^0 \frac{\rho_v dv}{R}V\)

Correct Ans: B

Solution:

\(\Rightarrow\) The electric potential at point \(P(V_p)\) due to a uniform volume charge is given by:


\(V_p = \frac{1}{4\pi\varepsilon_0}\int_{v} \frac{\rho_v dv}{R}V\)

QEE54.Which of the following element is connected in series with a thyristor to prevent the high rate of change of current?

1. Resistor
2. Inductor
3. Capacitor
4. Snubber

Correct Ans: B

Solution:

\(\Rightarrow\) As we know that inductor current opposes the rate of change of current, it is used to limit the rate of change of anode current in Thyristor.
\(\Rightarrow\) High rate of change of anode current may create local hot spots, which may damage the thyristor.

QEE55.Find the Laplace transform of the function: \(f(t) = \cos 3t\)

1. \(\frac{s}{s^2-3}\)
2. \(\frac{s}{s^2+3}\)
3. \(\frac{s}{s^2+9}\)
4. \(\frac{s}{s^2-9}\)

Correct Ans: C

Solution:

\(L\lbrace f(t)\rbrace = L\lbrace\cos 3t\rbrace=\frac{s}{s^2+3^2}=\frac{s}{s^2+9}\)

\(L\lbrace f(t)\rbrace = L\lbrace\sin 3t\rbrace=\frac{3}{s^2+3^2}=\frac{3}{s^2+9}\)

QEE56.A Single phase half wave AC voltage controller requires __.

1. 2 Diodes and 2 SCRs
2. 1 Diode and 1 SCR
3. 2 Diodes
4. 2 SCRs

Correct Ans: B

Solution:

\(\Rightarrow\) In half wave AC voltage controller the output voltage is controlled by controlling the voltages in any one half cycle (generally positive half cycle)
\(\Rightarrow\) Therefore it uses one SCR to control the voltage of half cycle and 1 diode to provide path to the current in other half cycle.
\(\Rightarrow\) So aniparallel connection of 1 diode and 1 SCR is is used in half wave AC voltage controller.

QEE57.Tesla is the derived unit for:

1. Magnetic flux density
2. Reluctance
3. Permeability
4. Magnetic flux

Correct Ans: A

Solution:

\(\mathbf{Magnetic\:flux\:density:}\)

\(\Rightarrow\) It is defined as the magnetic flux per unit area of cross-section at the right angle to the flux.

\(\Rightarrow\) It is denoted by the symbol \(B\).

\(\Rightarrow\) Mathematically, \(B=\frac{\phi}{A}\)

\(\Rightarrow\) Its unit is \(Wb/m^2\) or Tesla (T)

QEE58.Let \(f(x)\) be a function of period \(2\pi\) such that \(f(x) = \big \lbrace_{0,\: 0 <\: x\: < \pi}^{1,\: -\pi <\: x\: < 0}.\) Find the Fourier series for \(f(x)\) in the interval of \( -\pi <\: x\: < \pi.\)

1. \(\frac{1}{2}- {4 \over \pi} \big[ \frac{sin x}{1} +\frac{sin 3x}{3} +\frac{sin 5x}{5} + \frac{sin 7x}{7} +...\big]\)
2. \(\frac{1}{2} - {2 \over \pi} \big[ \frac{sin 2x}{2} +\frac{sin 4x}{4} +\frac{sin 6x}{6} + ...\big]\)
3. \(\frac{1}{2}- {2 \over \pi} \big[ \frac{sin x}{1} +\frac{sin 3x}{3} +\frac{sin 5x}{5} + \frac{sin 7x}{7} +...\big]\)
4. \(\frac{1}{2} - {4 \over \pi} \big[ \frac{sin 2x}{2} +\frac{sin 4x}{4} +\frac{sin 6x}{6} + ...\big]\)

Correct Ans: C

Solution:

For given function \)f(x)\) with period \(T=2\pi \implies \omega_0 = \frac{2\pi}{T}=1\)

Also, due to symmetric condition, \(a_n=0\)


\(\Rightarrow\) For \(a_0:\)


\(a_0 = \frac{1}{T} \int_0^T f(x)\:dx \)


\(\quad \: =\frac{1}{2\pi} \int_{-\pi}^0 1\:dx \)


\(\quad \: =\frac{1}{2\pi} [0-(-\pi)]\)


\(\quad \: =\frac{1}{2}\)


\(\Rightarrow\) For \(b_n:\)


\(b_n = \frac{2}{T} \int_0^T f(x)\sin(n\omega_0 x)\:dx \)


\(\quad \: =\frac{2}{2\pi} \int_{-\pi}^0 \sin(n\omega_0 x)\:dx \)


\(\quad \: =\frac{1}{\pi} [-\frac{\cos(nx)}{n}]_{-\pi}^0\)


\(\quad \: =-\frac{1}{\pi n}[1-\cos (n\pi)]\)


\(\quad \: =-\frac{2}{\pi n} \:for\: n=1,3,5,...\)


\(\Rightarrow\) Fourier series representtion of f(x):


\(f(x) = a_0+\sum_{n=1}^\infty [a_n\cos(n\omega_0 x)+b_n \sin(n \omega_0 x)] \)


\(\implies f(x) = \frac{1}{2} -\frac{2}{\pi}[\frac{\sin x}{1}+\frac{\sin 3x}{3}+\frac{\sin 5x}{5}+.....]\)

QEE59.What is the average value of the output voltage \(V_{av}\) of resistive load chopper when the supply voltage is \(V\) and \(T_{on}\) & \(T_{off}\) are the periods of conduction and blocking of thyristor?

1. \(V_{av} = \frac{V\:T_{off}}{T_{on} +T_{off}}\)
2. \(V_{av} = \frac{V\:T_{on}}{T_{on} +T_{off}}\)
3. \(V_{av} = \frac{V\:T_{on}}{T_{off}}\)
4. \(V_{av} = \frac{V\:T_{off}}{T_{on} }\)

Correct Ans: B

Solution:

\(\Rightarrow\) For step-down chopper output voltage \(V_{av} = DV\)

\(\Rightarrow\) Where, \(D = \frac{T_{on}}{T_{on} + T_{off}}\)

\(\quad \therefore V_{av} = \frac{V\:T_{on}}{T_{on} +T_{off}}\)

QEE60.

The above one line diagram shows the modeling of the:

1. Induction motor
2. Transformer
3. Transmission line
4. Synchronous motor

Correct Ans: A

Solution:

Equivalent circuit model of induction motor is as follows:

QEK1.Sentences of a paragraph are given below in jumbled order. Arrange the the sentences in the correct order to form a meaningful and coherent paragraph.

A. This campaign has been under taken by the Oil and Natural Gas Corporation (ONGC), Dehradun - a first by any public sector organisation.

B. A unique initiative to clean the Himalayas as part of the Central Government's Swachh Bharat' campaign has been launched in the mountain state of Uttarakhand.

C. Dubbed 'Cleanathon Himalaya', this innovative programme aims to clean three source tributaries of river Ganga - the Bhagirathi, Alaknanda and Pindar.

D. As part of this unique initiative, ONGC is partnering with the Indian Mountaineering Foundation (IMF), a Delhi based institute, to remove hazardous garbage/waste generated by tourists at different tourist spot of the Himalayas.

1. ACDB
2. BCAD
3. BADC
4. CABD

Correct Ans: B

Solution:

QEK2.Select the most appropriate and ANTONYM of the given word.

Loquacious

1. Babbling
2. Chatty
3. Gossiping
4. Restrained

Correct Ans: D

Solution:

QEK3.Select the option that will improve the underline part of the given sentence. In case no improvement is need, select 'No improvement required'.

You droped Rahul at the bus stop, isn't it?

1. won't you
2. did you
3. didn't you
4. No improvement required

Correct Ans: C

Solution:

QEK4.The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, make 'No error' as your answer.

You should write your answers / neat so that the examiner / can read them.

1. can read them
2. No error
3. You should write your answers
4. neat so that the examiner

Correct Ans: D

Solution:

QEK5.Select the most appropriate option to fill in the blanks.

Tooth extraction is the removal of________ tooth from its socket in ________ jaw bone.

1. the, a
2. a, a
3. the, an
4. a, the

Correct Ans: D

Solution:

QEK6.Select the correctly spelt word.

1. Sevearty
2. Severtiy
3. Seaverity
4. Severity

Correct Ans: D

Solution:

QEK7.Select the most appropriate option to fill in the blanks.

Almora is famous_______ it's exquisite temples and a rich medley ______ fairs and festivals.

1. with, to
2. for, of
3. to, with
4. of, for

Correct Ans: B

Solution:

QEK8.Select the most appropriate synonym of the given word.

Fabricate

1. Separate
2. Neglect
3. Divide
4. Construct

Correct Ans: D

Solution:

QEK9.Select the option that can be used as a one-word substitute for the given group of words.

The branch of physics concerned with the properties of sound.

1. Relativity
2. Optics
3. Acoustics
4. Mechanics

Correct Ans: C

Solution:

QEK10.Select INCORRECTLY spelt world.

1. Shamble
2. Shrewd
3. shipreck
4. Shatter

Correct Ans: C

Solution:

QGK1.With which of the following Indian sports is the Santosh Trophy associated?

1. Cricket
2. Football
3. Badminton
4. Basketball

Correct Ans: B

Solution:

QGK2.Arnab Goswami is a famous Indian personality. In which of the following areas is he famous?

1. Music
2. Journalism
3. Cricket
4. Dance

Correct Ans: B

Solution:

QGK3.Which of the following is the currency of India's neighbouring country of Bhutan?

1. Won
2. Riyal
3. Peso
4. Ngultrum

Correct Ans: D

Solution:

QGK4.Which of the following stakeholders is the end-beneficiary of the KALIA Yojana, a scheme by Government of Odisha?

1. School children
2. Pensioners
3. Widows
4. Farmers

Correct Ans: D

Solution:

QGK5.In the context of computers, what is the full form of 'VPN'?

1. Virtual Private Network
2. Valuable Private Network
3. Visual Private Network
4. Vector Private Network

Correct Ans: A

Solution:

QGK6.What is the full form of 'UMANG', an app by the Government of India?

1. Ultimate Mobile Application for New-age Governance
2. Umbrella Mobile Application for New-age Governance
3. Unified Mobile Application for New-age Governance
4. Utilitarian Mobile Application for New-age Governance

Correct Ans: C

Solution:

QGK7.Identify the pair of animals that forms part of the state emblem of Kerala.

1. Pair of tigers
2. Pair of lions
3. Pair of horses
4. Pair of elephants

Correct Ans: D

Solution:

QGK8.In which of the following cities of India is the white-coloured Ujjayanta Place located?

1. Kochi, Kerala
2. Agartala, Tripura
3. Jaipur, Rajasthan
4. Indore, Madhya Pradesh

Correct Ans: B

Solution:

QGK9.With which of the following events of Indian history is the year 1919 associated?

1. Dandi Salt March
2. Quit India Movement
3. Jallianwala Bagh massacre
4. Partition of Bengal

Correct Ans: C

Solution:

QGK10.Identify the river that has created the Grand canyon in the Arizona state of the USA.

1. Hudson river
2. Ohio river
3. Colorado river
4. Mississippi river

Correct Ans: C

Solution:

QGL1." વશ - વંશ " નો સાચો શબ્દભેદ - અર્થભેદ જણાવો.

1. કાબૂ - કૂળ
2. કાબૂ - વેવાઈ
3. કાબૂ - ફળ
4. મહાવત - દેવી

Correct Ans: A

Solution:

QGL2." નદી બહુ ઘાટીલો વળાંક લે છે ચંદનવાડી આગળ " અશુદ્ધ વાક્યનું શુદ્ધ વાક્ય નીચેનામાંથી પસંદ કરો.

1. બહુ ઘાટીલો વળાંક લે છે ચંદનવાડી આગળ નદી
2. ચંદનવાડી આગળ નદી બહુ ઘાટીલો વળાંક લે છે
3. વળાંક લે છે ચંદનવાડી આગળ નદી બહુ ઘાટીલો
4. ચંદનવાડી આગળ ઘાટીલો વળાંક લે છે નદી બહુ

Correct Ans: B

Solution:

QGL3." સત્ય એ બીજી રીતે જોઈએ તો જ પરાકાષ્ઠા અહિંસાની છે " અશુદ્ધ વાક્યનું શુદ્ધ વાક્ય નીચેનામાંથી પસંદ કરો.

1. બીજી રીતે જોઈએ તો અહિંસાની જ પરાકાષ્ઠા છે સત્ય એ
2. સત્ય એ બીજી રીતે જોઈએ તો અહિંસાની જ પરાકાષ્ઠા છે
3. સત્ય એ બીજી રીતે પરાકાષ્ઠા છે. જોઈએ તો અહિંસાની જ
4. અહિંસાની જ પરાકાષ્ઠા છે સત્ય એ બીજી રીતે જોઈએ તો

Correct Ans: B

Solution:

QGL4." કાનબુટ્ટી પકડવી " રૂઢિપ્રયોગનો અર્થ નીચેના વિકલ્પોમાંથી પસંદ કરો.

1. ધીમેથી કહેવું
2. કાનમાં કહેવું
3. પોતાની ભૂલ કબૂલ કરવી
4. કાન આમળવા

Correct Ans: C

Solution:

QGL5." માણસ વડે મનસૂબા ઘડાય છે " આ વાક્યનું કર્તરિ વાક્ય નીચેના વિકલ્પોમાંથી પસંદ કરો.

1. મનસૂબા માણસ ને ઘડે છે
2. મનસુબાથી માણસ ઘડાય છે
3. ઘડતરથી માણસ મનસૂબા ઘડે છે
4. માણસ મનસૂબા ઘડે છે

Correct Ans: D

Solution:

QGL6." તે હળ ચલાવે છે " ક્યા પ્રકારનું વાક્ય છે?

1. વિધાન વાક્ય
2. ઉદ્ધાર વાક્ય
3. આજ્ઞાર્થ વાક્ય
4. પ્રશ્નાર્થ વાક્ય

Correct Ans: A

Solution:

QGL7." મનુષ્ય ધારે છે કાંઈ અને થાય છે કાંઈ " ક્યા પ્રકારનું વાક્ય છે?

1. સાદું વાક્ય
2. સંકુલ વાક્ય
3. મિશ્ર વાક્ય
4. વધન વાક્ય

Correct Ans: C

Solution:

QGL8." ઉદ્યમી " શબ્દનો યોગ્ય વિરુદ્ધાર્થી શબ્દ નીચેના વિકલ્પોમાંથી પસંદ કરો.

1. અઉદ્યમી
2. ગેરઉદ્યમી
3. બિનઉદ્યમી
4. નિરુદ્યમી

Correct Ans: D

Solution:

QGL9." નિશ્ચિત - નિશ્ચિન્ત " નો સાચો શબ્દભેદ - અર્થભેદ જણાવો.

1. બુદ્ધુ -બુદ્ધિશાળી
2. નક્કી કરેલું - ચિંતા વગરનું
3. ચિંતા વગરનું - નક્કી કરેલું
4. નિત્ય - અનિયમિત

Correct Ans: B

Solution:

QGL10." પ્રાસાદ " શબ્દનો યોગ્ય સમાનાર્થી શબ્દ નીચેના વિકલ્પોમાંથી પસંદ કરો.

1. મહેલ
2. વિષ્ણુ
3. મંદિર
4. ઈશ્વર

Correct Ans: A

Solution:

QCK1.Identify whether the given statements are true or false.


i) Register memory is slower than Random Access Memory.

ii) Dynamic Random Access Memory (DRAM) is a type of Random Access Memory that stores each bit of data in a separate capacitor within an integrated circuit

1. i-False, ii-False
2. i-True, ii-False
3. i-True, ii-True
4. i-False, ii-True

Correct Ans: D

Solution:

QCK2.Identify whether the given statements are true or false.


i) DOS is a system software written by Microsoft Corporation. DOS stands for "Domain Operating System".

ii) The operating system is a resource manager of computer systems.

iii) A thread is a basic unit of CPU utilisation, consisting of a program counter, a stack and a set of register.

1. i-True, ii-True, iii-True
2. i-False, ii-True, iii-True
3. i-False, ii-False, iii-False
4. i-False, ii-True, iii-False

Correct Ans: B

Solution:

QCK3.Identify the option that arranges the given steps in correct sequence to copy and paste multiple items with the help of clipboard.


a) Open the file that you want to copy items from.

b)Continue copying items from the same or other files until you have collected all the items that you want.

c) Select the first item that you want to copy and press 'Ctrl+C'.

d) Click where you want the items to be pasted. You can paste collected items into any office program.

e) Do one of the following:

1. To paste items one at a time, in the clipboard task pane, double-click each item that you want to paste.

2. To paste all the items that you copied, in the clipboard task pane. Click paste all.

1. a,c,b,d,e
2. a,c,b,e,d
3. a,c,e,b,d
4. a,b,c,e,d

Correct Ans: A

Solution:

QCK4.______ means selecting a third trusted party to control the communication between two parties.

1. Access control
2. Routing control
3. Authentication exchange
4. Notarisation

Correct Ans: D

Solution:

QCK5.The Von Neumann computer system uses:

1. Same memory for instruction data and program data
2. Separate data memory, code memory and stack memory
3. Different memory for data instructions and program
4. Separate code memory and stack memory
   

Correct Ans: A

Solution:

QCK6.Identify whether the given statements are true or false.



i) The 'Data integrity' mechanism appends to the data a short 'check value' that has been created by a specific process from the data itself.


ii) 'Traffic padding' means inserting some bogus data into the data traffic to thwart are the attempt to use the traffic analysis.

1. i-False, ii-True
2. i-True, ii-False
3. i-True, ii-True
4. i-False, ii-False

Correct Ans: C

Solution:

QCK7.Identify whether the given statements are true or false.


i) In 'Replaying' security attack, the attacker obtains a copy of a message sent by a user and later tries to replay it.

ii) An 'active attack' may change the data or harm the system.

iii) In 'modification' security attack, attacker just obtains information and does not change it.

1. i-True, ii-True, iii-False
2. i-False, ii-True, iii-False
3. i-True, ii-True, iii-True
4. i-False, ii-False, iii-False

Correct Ans: A

Solution:

QCK8.Which of the following is the keyboard shortcut for toggling the split screen on and off in MS Word 2019?

1. Alt+Ctrl+S
2. Alt+Shift+S
3. Ctrl+Spacebar+S
4. Alt+Ctrl+Z

Correct Ans: A

Solution:

QCK9.Which of the following is NOT an Operating System software?

1. CentOS
2. Big Sur
3. Java Virtual Machine
4. Windows

Correct Ans: C

Solution:

QCK10.The number of layers in an OSI reference model are:

1. 6
2. 4
3. 5
4. 7

Correct Ans: D

Solution:

QEE1.A 3\(\phi\)- 4 pole induction motor is supplied from 3-\(\phi\) 50 Hz AC supply. Find the rotor frequency when it runs at 600 RPM.

1. 25 Hz
2. 30 Hz
3. 20 Hz
4. 35 Hz

Correct Ans: B

Solution:

\(N_s\: = \:\frac{120f}{P}\: = \:\frac{120 \times 50}{4} = \:1500 \: RPM\)


\(s\: = \:\frac{N_s \:-\: N_r}{N_s} = \:\frac{1500 \:-\: 600}{1500} =0.6\)


Rotor frequency \(f_r\: = \:s.f_s\: = 0.6 \times 50 = 30 \: Hz\)

QEE2.An op-amp has an open-loop differential voltage gain of 100000 and a common-mode gain of 0.2. Determine the CMRR.

1. 20000
2. 500000
3. 80000
4. 100000

Correct Ans: B

Solution:

None of above

\(\Rightarrow\) CMRR = \(\frac {A_{ol}}{A_{cm}} = \frac{100000}{0.2} = 500000\)

QEE3.

What is the step response \(C(t)\) for the above PI-controller with inertia load in the control system?

1. \(C(t) = (1+e^{-t})\)
2. \(C(t) = e^{-t}\)
3. \(C(t) = 1\)
4. \(C(t) = (1-e^{-t})\)

Correct Ans: D

Solution:

\(\Rightarrow\) For the given System,

Forward Path Gain \(G(s) = \Big ( K_p+\frac{K_i}{s}\Big )\Big ( \frac{1}{s+1} \Big)=\frac{sK_p+K_i}{s(s+1)}\)


Now, \(\frac{E(s)}{R(s)}=\frac{1}{1+G(s)}=\frac{s(s+1)}{s^2+s(1+K_p)+K_i} \)


Also, \(\frac{U(s)}{R(s)}=\frac{(s+1)(sK_p+K_i)}{s^2+s(1+K_p)+K_i}=1\)


\(\Rightarrow \frac{C(s)}{R(s)}=\frac{(sK_p+K_i)}{s^2+s(1+K_p)+K_i} =\frac{1}{s+1}\)


\(\Rightarrow\) For Step input, \(r(t) = u(t) \implies R(s) = \frac{1}{s}\)


\(\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \implies C(s) = \frac{1}{s} - \frac{1}{s+1}\)


\(\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \implies c(t) =1-e^{-t}\)

QEE4.Find the power consumed by a star connected load supplied through a 210 V, 50 Hz supply, if per phase impedance of load, \(Z_{ph} = 7 \sqrt{3} \: \Omega\), and the power factor = \( \frac{1}{\sqrt{3}} \)

1. 2400 W
2. 3367 W
3. 3637 W
4. 2100 W

Correct Ans: D

Solution:

\(\mathbf{Given \:data:}\)

\(V_L=210\:V\)

Impedance per phase \(Z_{ph}=7\sqrt{3}\:\Omega\)

Power factor \(\cos\phi=\frac{1}{\sqrt{3}}\)


\(V_L=\sqrt{3}V_{ph}\) (For Star connected System)

\(V_{ph}=\frac{V_L}{\sqrt{3}}=\frac{210}{\sqrt{3}}=121.24\:V\)

Current per phase \(I_{ph}=\frac{V_{ph}}{Z_{ph}}=\frac{121.24}{7\times \sqrt{3}}=10\:A\)

Power \(P=3\times V_{ph}\times I_{ph} \times \cos\phi=3\times 121.24\times 10 \times \frac{1}{\sqrt{3}}=2100\:W\)

QEE5.Find \( \frac{du}{dy} \) for \( u = y^2 \sec{x} \)

1. \( \frac{du}{dy} = 2y (\sec{x})\)
2. \( \frac{du}{dy} = 2y (\sec{x} \tan{x})\)
3. \( \frac{du}{dy} = y^2 (\sec{x} \tan{x})\)
4. \( \frac{du}{dy} = y^2 (\sec{x})\)

Correct Ans: A

Solution:

\( u = y^2 \sec{x} \)


\(\implies \frac {du}{dy} = \frac {d}{dy} [y^2 \sec{x}] = 2 y \:\sec \: x\)

QEE6.The equivalent circuit of the system drawn by combining the equivalent circuits for the various components shown in the one-line diagram is known as the \(_{--------------}\) of the system.

1. inductance diagram
2. resistance diagram
3. impedance diagram
4. circle diagram

Correct Ans: C

Solution:

\(\Rightarrow\) Impedance diagram can be drawn by representing each component is by its equivalent circuit. For example, the synchronous generator at the generating station by a voltage source in series with the resistance and reactance, the transmission line by a nominal \(\pi\) or \(T\) equivalent circuit. The loads are represented by a resistive and inductive reactance in the series, etc.

QEE7.The output of a 2-input logic gate is high when both the inputs are low, Name the logic gate.

1. XOR
2. NAND
3. OR
4. AND

Correct Ans: B

Solution:

\(\Rightarrow\) From the truth table of the NAND gate it is evident that the output of the NAND gate is high when both the inputs are low.

\(\Rightarrow\) The same possibility exists in NOR and Ex-NOR gates also.

QEE8.Which of the following components is absent in a block diagram?

1. Block
2. Summing point
3. Takeoff point
4. Self loop

Correct Ans: D

Solution:

\(\Rightarrow\) Self loop is part of Signal Flow Graph representation.


\(\Rightarrow\) While Block Diagram representation is done with Blocks, Take-off point, Summing Point.

QEE9.The characteristic equation of a control system is given by: \(s(s+4)(s+5)(s+6)+K(s+3) = 0\).

The number of asymptotes of this control system are

1. 2
2. 5
3. 4
4. 3

Correct Ans: D

Solution:

\(\Rightarrow\) For givem characteristic equation,


No. of Poles = P = 4 and No. of Zeros = Z = 1


\(\Rightarrow \) The number of asymptotes of this control system\(=P-Z=4-1=3\)

QEE10.Interpolation using the impulse response of an ideal low pass filter for the reconstruction of the signal is commonly referred to as:

1. band-limited interpolation
2. band-width interpolation
3. band-lifted interpolation
4. band-pass interpolation

Correct Ans: A

Solution:

\(\Rightarrow \mathbf{Band-Limited\:Interpolation:}\) It is a Interpotation using the impulse response of an ideal low pass filter for the reconstruction of the signal.

QEE11.The sum of two numbers is \(M\). What will be the minima value of the sum of their squares?

1. \(2M\)
2. \(\frac{M^2}{3}\)
3. \(\frac{M}{2}\)
4. \(\frac{M^2}{2}\)

Correct Ans: D

Solution:

Given,

\(\rightarrow\) Let two numbers, \(X \: \& \: M-X \),


\(\rightarrow X^2 + (M-X)^2 = Z \)



For minima,


\(\frac {dZ}{dx} = 2x - 2M + 2x = 4x - 2M\)


\(\frac {dZ}{dx} = 0 \implies 4x - 2M = 0 \implies x = \frac{1}{2}M\)


\(\frac {d^2Z}{dx^2} = 4 > 0\), (\(\because it \: has \: minimum \: value)\)


\(\Rightarrow \) Minima value of the sum of their squares at \(x = \frac{M}{2}\)



\(\implies Z = X^2 + (M-X)^2 \) \(= \frac{1}{4} M^2 + \frac{1}{4} M^2 = \frac{1}{2} M^2 \)

QEE12.What is the frequency response \( H( j\omega )\), for a simple RC low pass filter?

1. \( H( j\omega ) = \frac{j\omega}{1+RC j\omega} \)
2. \( H( j\omega ) = \frac{RC}{RC+ j\omega} \)
3. \( H( j\omega ) = \frac{1}{1+RC j\omega} \)
4. \( H( j\omega ) = \frac{RC}{1+RC j\omega} \)

Correct Ans: C

Solution:

\(\Rightarrow \)For Simple RC Low Pass Filter, the circuit will be:





\(\Rightarrow\) As per voltage-divider relationship,


\(V_{out} = \frac{-jX_c}{R-jX_c}\:V_{in}\)


\(\implies \) Transfer Function \(=H(j\omega) =\frac{V_{out}}{V_{in}}= \frac{-jX_c}{R-jX_c}\)


\(\quad \quad = \frac{\frac{1}{j\omega C}}{R+\frac{1}{j\omega C}}\)


\(\quad \quad = \frac{1}{1+j\omega RC}\)

QEE13.Which of the following is NOT true for the three-phase Delta system?

1. Delta connection is most suitable for rotary convertors
2. Most of the three-phase induction motors are delta connected.
3. Delta connection is highly reliable.
4. In Delta connection, the neutral point can be earthed.

Correct Ans: D

Solution:

\(\mathbf{Delta\: connected\: System:}\)

\(\Rightarrow\) \(V_L=V_{ph}\)

\(\Rightarrow\) \(I_L=\sqrt{3} I_{ph}\)

\(\Rightarrow\) It is a three-wire system and does not contain a neutral point.


\(\mathbf{Note:}\)

\(\Rightarrow\) Delta connection is most suitable for rotary convertors.

\(\Rightarrow\) Most of the three-phase induction motors are delta connected.

\(\Rightarrow\) Delta connection is most suitable for rotary convertors.

\(\Rightarrow\) Delta connection is highly reliable.

QEE14.Class D DC chopper operates in:

1. the first and fourth quadrants
2. the first and second quadrants
3. the first and third quadrants
4. all four quadrants

Correct Ans: A

Solution:

\(\Rightarrow\) Type A chopper \(\rightarrow\) First quadrant operation (+ve voltage and +ve current)
\(\Rightarrow\) Type B chopper \(\rightarrow\) Second quadrant operation (+ve voltage and -ve current)
\(\Rightarrow\) Type C chopper \(\rightarrow\) First and second quadrant operation (+ve voltage and current in both direction)
\(\Rightarrow\) First and fourth quadrant operation (-ve and +ve voltage and +ve current)
\(\Rightarrow\) Type E chopper \(\rightarrow\) Four quadrant operation

QEE15.The three most commonly used coordinate systems used in the study of electromagnetics are:

1. rectangular coordinates, cylindrical coordinates and orthogonal coordinates
2. rectangular coordinates, orthogonal coordinates and spherical coordinates
3. orthogonal coordinates, cylindrical coordinates and spherical coordinates
4. rectangular coordinates, cylindrical coordinates and spherical coordinates

Correct Ans: D

Solution:

\(\Rightarrow\) The three most commonly used coordinate systems used in the study of electromagnetics are rectangular coordinates, cylindrical coordinates and spherical coordinates.

QEE16.For all the capacitors connected in series, the charge on all of them is always \(_{--------------}\) and the voltage across them is \(_{--------------}\).

1. different; same
2. same; same
3. different; different
4. same; different

Correct Ans: D

Solution:

\(\mathbf{Capacitors\: in \:Series}\)

For all the capacitors connected in series, the charge on all of them is always same and the voltage across them is different.

\(\Rightarrow\) \(Q_1=Q_2=Q_3=Q=It\)

\(\Rightarrow\) \(\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}\)

\(\mathbf{Capacitors\: in \:Parallel:}\)

For all the capacitors connected in parallel, the charge on all of them is always different and the voltage across them is same.

\(\Rightarrow\) \(Q=Q_1+Q_2+Q_3\)

\(\Rightarrow\) \({C_{eq}}=C_1+C_2+C_3\)

QEE17.The inverse Fourier transform of ‘\(j\omega\)’ is:

1. \( \delta^{'} (t) \)
2. \( u' (t) \)
3. \( \frac{1}{t} \)
4. \( t^2 \)

Correct Ans: A

Solution:

\(\Rightarrow\) As per Time Differentiation Property of Fourier Transform,


\(\frac{d}{dt}x(t) \rightarrow j\omega X(\omega)\)


\(\Rightarrow\)Now \(\delta (t) \rightarrow 1 \implies \frac{d}{dt} \delta(t) \rightarrow j\omega \implies \delta^{'}(t) \rightarrow j\omega \)

QEE18.The minimum value of function ‘f' defined as \( f(x,y,z) =x^2 + 5y^2+5z^2-4x+40y—40z+300 \) is \(_{--------------}\).

1. 152
2. 136
3. 36
4. 456

Correct Ans: B

Solution:

Given,

\( f(x,y,z) =x^2 + 5y^2+5z^2-4x+40y-40z+300 \)


For minimum value,
\(\frac{\partial f}{\partial x} = \frac{\partial f}{\partial y} = \frac{\partial f}{\partial z} = 0\)



\(\frac{\partial f}{\partial x} = 2x - 4 =0 \)


\(\implies x = 2\)



\(\frac{\partial f}{\partial y} = 10 y + 40 =0\)


\(\implies y = -4\)



\(\frac{\partial f}{\partial z} = 10 z - 40 =0 \)


\(\implies z = 4\)



\( f(x,y,z) =x^2 + 5y^2+5z^2-4x+40y-40z+300 \)


\(\therefore f(2, -4, 4) = 2^2 + 5(-4)^2+5(4)^2-4(2)+40(-4) - 40(4)+300 = 136 \)

QEE19.


The above schematic diagram represents:

1. shaded pole induction motor
2. split phase induction motor
3. capacitor start induction motor
4. capacitor run induction motor

Correct Ans: C

Solution:

\(\Rightarrow\) In given schematic diagram, there is a starting winding in which capacitor is connected to split phase.

\(\Rightarrow\) Also there is a centrifugal switch connected in starting winding which disconnect it when motor attain speed.

\(\Rightarrow\) So it is schematic diagram of capacitor start induction motor.

QEE20.In a single line diagram, the voltage, power, current and impedance rating of components of the power system are expressed with reference to a common value called:

1. standard value
2. adjoint value
3. critical value
4. base value

Correct Ans: D

Solution:

\(\Rightarrow\) In Power system network, the components may operate at different voltage and power levels. It will be convenient for analysis of power system if the voltage, power, current, impedance ratings of the components of the power system is expressed with reference to a common value called as base value.

QEE21.What is the impulse response of a low pass RC filter?

1. \(h(t)= \frac{1}{RC} \Big (1+e^{\frac{-t}{RC}}\Big )u(t) \)
2. \(h(t)= \frac{1}{RC} \: e^{\frac{-t}{RC}}\:u(t) \)
3. \(h(t)= \Big (1+e^{\frac{-t}{RC}}\Big )u(t) \)
4. \(h(t)=e^{\frac{-t}{RC}}u(t) \)

Correct Ans: B

Solution:

\(\frac{C(s)}{R(s)} = \frac{Z_C}{Z_C+Z_R} = \frac{\frac{1}{sC}}{\frac{1}{sC}+R} = \frac{1}{sRC+1}\)


For impulse response, \(R(s)=1 \implies H(s) = \frac{1}{sRC+1}\)


\( \implies h(t) = \frac{1}{RC}e^{-\frac{t}{RC}}, t \geq 0\)

QEE22.Which of the following combinations can perform the function of a full adder?

1. Two half adders and one AND gate
2. Two half adders and one OR gate
3. Two exclusive NOR gates and one OR gate
4. Two exclusive OR gates and one AND gate

Correct Ans: B

Solution:

\(\Rightarrow\) As shown in the figure, a full adder can be formed by two half adders and one OR gate.

QEE23.


Find the equivalent inductance of series combination of inductors shown in the above figure.

1. \(L_{Eq} = L_1 + L_2+2M \)
2. \(L_{Eq} = L_1 + L_2-2M \)
3. \(L_{Eq} = L_1 * L_2+2M \)
4. \(L_{Eq} = L_1 * L_2-2M \)

Correct Ans: A

Solution:

Equivalent Inductance of series combination of inductors

\(L_{Eq}=L_1+L_2+2M\)

\(\mathbf{Dot \:conversion:}\)

\(\Rightarrow\) Dot conversion is very useful in deciding the sign of the coefficient of mutual inductance in formulating the current equilibrium equations.

\(\Rightarrow\) Two coils are mutually coupled, each coil will induce voltage in the other coils, the magnitude will depend upon the current flowing through the coil and the polarity and its relative direction of flow with respect to dot of the coil.

QEE24.The transformation from cylindrical to cartesiun system can be obtained using the equations:

1. \(x=r\sin \phi,\quad y=r \cos \phi,\quad z=z \)
2. \(x=r\cos \phi,\quad y=r \sin \phi,\quad z=z \)
3. \(x=r\cos \phi,\quad y=z, \quad z=r \sin \phi \)
4. \(x=z, \quad y=r \sin \phi,\quad z=r\cos \phi \)

Correct Ans: B

Solution:

\(\Rightarrow\) Cylindrical coordinates \((\rho, \: \phi, \: z)\) corresponding to Cartesian coordinate \((x, \: y, \: z )\)

$$ \rho = \sqrt{x^2 +y^2} $$
$$ \phi = \tan^{-1}\frac{y}{x} $$
$$ z=z $$

\(\Rightarrow\) Cartesian coordinate \((x, \: y, \: z )\) corresponding to Cylindrical coordinates \((\rho, \: \phi, \: z)\)

$$ x=\rho\cos \phi $$
$$ y=\rho \sin \phi $$
$$ z=z $$

QEE25.Which of the following networks contain no energy source?

1. Passive network
2. Unilateral network
3. Linear network
4. Bi-polar network

Correct Ans: A

Solution:

\(\mathbf{Passive\:Network:}\)

A passive network does not contain any voltage or current source.

\(\mathbf{Active\:Network:}\)

Network that contains an active source is known as active network.

\(\mathbf{Note:}\)


\(\mathbf{Bilateral \:Network:}\)

\(\Rightarrow\) A network, whose properties or characteristics are the same in either direction is known as Bilateral Network.

\(\mathbf{Unilateral \:Network:}\)

\(\Rightarrow\) A Network, whose properties or characteristics are not the same in either direction is known as Unilateral Network.

QEE26.Eddy current losses in a transformer is given by:

(Consider \(K_e =\) Eddy current constant, \(B_m=\)Maximum flux density, \(f=\) Frequency and \(t=\)Thickness of the core)

1. Eddy current losses \(=K_e\:B_m\:f\:t\)
2. Eddy current losses \(=K_e\:{B_m}^2\:f^2\:t^2\)
3. Eddy current losses \(=K_e\:{B_m}^2\:f^2\:t\)
4. Eddy current losses \(=K_e\:{B_m}^2\:f\:t\)

Correct Ans: B

Solution:

Eddy current losses in a transformer is given by:


\(W_e = K_e\:{B_m}^2\:f^2\:t^2\)


Where

\(K_e =\) Eddy current constant

\(B_m=\) Maximum flux density

\(f=\) Frequency

\(t=\)Thickness of the core

QEE27.An electric heater is rated \(1 \:kW, 200 \:V\). Find the resistance of the heating element.

1. 20 Ohm
2. 50 Ohm
3. 25 Ohm
4. 40 Ohm

Correct Ans: D

Solution:

\(\mathbf{Given \:data:}\)

An electric heater rating \(P=1\:kW=1000\:W,\:V=200\:V\)


\(P=\frac{V^2}{R}\implies R=\frac{V^2}{P}=\frac{(200)^2}{1000}=40\:\Omega\)

QEE28.Which gate produces a certain fixed logic level at the output in respective of changes in the input logic level?

1. AND-OR Invert logic gate
2. Tristate logic gate
3. Universal gate
4. Inhibit logic gate

Correct Ans: D

Solution:

\(\Rightarrow\) An inhibit gate is a gate that gives a certain output no matter what is the input given.

QEE29.In a DC generator, as compared to shunt field winding, the series field winding consist of _________turns of wire of _________cross sectional area.

1. fewer, thin
2. more, large
3. fewer, large
4. more, thin

Correct Ans: C

Solution:

\(\Rightarrow\) In a DC generator, as compared to shunt field winding, the series field winding consist of fewer turns of wire of large cross sectional area because it carries armature current through it.

\(\Rightarrow\)Field windings are meant to produce mmf (Ampere turns).

\(\Rightarrow\)Because series winding carries armature current which is very high and so it require less number of turns to produce required AT.

\(\Rightarrow\)To carry high armature current series winding should have higher cross sectional area.

QEE30.Which of the following is not true for the three phase inverter operating in \(120°\) conduction mode?

1. Only two devices are in conduction state at any instance.
2. It is preferable for a delta connected load.
3. It provides a six step waveform across any phase.
4. It has better utilisation of switches comparing to the \(180^o\) conduction mode and it is preferred method.

Correct Ans: D

Solution:

\(\Rightarrow\) 120° mode of operation has poor utilisation of switches as compare to the 180° conduction mode.
\(\Rightarrow\) It provides six step waveform of phase voltages for delta-connected load and hence it is preferred for the delta-connected load.
\(\Rightarrow\) In this mode only two devices are in conduction state at any instance.

QEE31.Evaluate \(y(t)\) from \(y(s)=\frac{2s}{(s^2-a^2)}.\)

1. \(y(t) =2\cos ^{-1} \alpha t \)
2. \(y(t) =2\sin ^{-1} \alpha t \)
3. \(y(t) =2\sinh \alpha t \)
4. \(y(t) =2\cosh \alpha t \)

Correct Ans: D

Solution:

\(y(s)=\frac{2s}{(s^2-a^2)}\)

Taking both side Inverse Laplace transform

\(L^{-1}\lbrace y(s)\rbrace=L^{-1}\lbrace \frac{2s}{(s^2-a^2)}\rbrace\)

\(L^{-1}\lbrace y(s)\rbrace=2L^{-1}\lbrace \frac{s}{(s^2-a^2)}\rbrace\)

\(L^{-1}\lbrace y(s)\rbrace=2\cosh\:at\)

QEE32.\(x(t) = x_i\:\delta(t-a)\)




Name the function shown in the above diagram.

1. Dirac delta function
2. Ramp function
3. Impulse function
4. Step function

Correct Ans: A

Solution:

QEE33.Evaluate the following:


\(\int (\sqrt{1-\sin 2x})\:dx \)

1. \(\sin x + \cos x +c\)
2. \(-\sin x + \cos x +c\)
3. \(\sin x - \cos x +c\)
4. \(-\sin x - \cos x +c\)

Correct Ans: D

Solution:

\(\int (\sqrt{1-\sin 2x}) \: dx \)


\(=\int (\sqrt{\sin^2 x + \cos ^2 x - 2 \sin x \cos x}) dx\)


\(=\int (\sqrt{(\sin x - \cos x )^2} dx \)


\(=\int (\sin x - \cos x ) dx \)


\(=-\cos \: x - \sin \: x + C\)


\(=-\sin x - \cos x +C\)

QEE34.Which of the following quantities CANNOT be measured by schering bridge?

1. Power factor angle
2. Capacitance
3. Dielectric loss
4. Power factor

Correct Ans: A

Solution:

\(\Rightarrow\) Schering bridge can be used to measure capacitance, dielectric loss, relative permittivity and power factor.

QEE35.


Find out the modulus of the above ripple counter.

1. 12
2. 10
3. 9
4. 15

Correct Ans: A

Solution:

\(\Rightarrow\) First of all the given circuit diagram (IC 74LS293) will work as a 4-bit ripple counter if \(Q_A\) is connected to input-B.
\(\Rightarrow\) In this ripple counter when \(R_0(1) \:\&\: R_0(2)\) are high the counter will get reset and counting will restart.
\(\Rightarrow\) So when \(R_0(1) \:\&\: R_0(2)\) are connected to \(Q_C\: \&\: Q_D\), it will reset after counting 0 to 11.
\(\Rightarrow\) This is because \((11)_{10} \implies (Q_D =1, Q_C =1, Q_B =0, Q_A =0)_2\).

QEE36.In the power system, which bus is known as swing bus?

1. Generator bus
2. Load bus
3. Voltage controlled bus
4. Slack bus

Correct Ans: D

Solution:

QEE37.The electric potential difference between two points P and Q distance \(R_p\) and \(R_q\) from the center is:

1. \(V_{pq}= \frac{Q}{4 \pi \varepsilon_0} \Big [\frac{1}{R_q} - \frac{1}{R_p} \Big] \:\:\:Volt \)
2. \(V_{pq}= \frac{Q}{4 \pi \varepsilon_r} \Big [\frac{1}{R_p} - \frac{1}{R_q} \Big] \:\:\:Volt \)
3. \(V_{pq}= \frac{Q}{4 \pi \varepsilon_r} \Big [\frac{1}{R_q} - \frac{1}{R_p} \Big] \:\:\:Volt \)
4. \(V_{pq}= \frac{Q}{4 \pi \varepsilon_0} \Big [\frac{1}{R_p} - \frac{1}{R_q} \Big] \:\:\:Volt \)

Correct Ans: D

Solution:

\(\Rightarrow\) The electric potential difference between two points P and Q at a distance \(R_p\) and \(R_q\) from the center is:


\(V_{pq}= \frac{Q}{4 \pi \varepsilon_0} \Big [\frac{1}{R_p} - \frac{1}{R_q} \Big] \:\:\:Volt \)

QEE38.Which of the following is NOT a true characteristic of lap winding for a DC generator?

1. In lap winding, the number of parallel paths is equal to the number of poles.
2. The difference between \(Y_b\) and \(Y_f\) is 2.
3. Commutator pitch \(Y_c = +1\) for progressive winding and \(Y_c= -1\) for retrogressive winding.
4. The back pitch \(Y_b\) and front pitch \(Y_f\) should be even-one.

Correct Ans: D

Solution:

\(\Rightarrow\) In lap winding back pitch and front pitch should not be even.

QEE39.Which of the following bridges is used for the measurement of very small resistance \((<1 \Omega)\)?

1. Wein's bridge
2. Kelvin's bridge
3. Anderson's bridge
4. Wheatstone bridge

Correct Ans: B

Solution:

\(\Rightarrow\) Kelvin's bridge is used for the measurement of very small resistance \((<1 \Omega)\).

QEE40.Find the voltage \(V_2\) in the following circuit.

1. 6 V
2. 3 V
3. 4 V
4. 12 V

Correct Ans: A

Solution:

Applying KVL to the given circuit

\(12=100i+400i+300i\)

\(12=800i\implies i=\frac{12}{800}=0.015\:A\)

Voltage \(V_2=i\times 400=0.015\times 400=6\:V\)
\(\mathbf{Note:}\)

\(\mathbf{Kirchhoff's \:Voltage \:Law (KVL):}\)

\(\Rightarrow\) KVL law states that the algebraic sum of all branch voltages around any closed loop in a circuit is zero at any instant of time.

$$OR$$
\(\Rightarrow\) KVL law states that the algebraic sum of e.m.f.s around a closed loop equals the algebraic sum of IR drops around the loop.

\(\Rightarrow\) This law represents conversation of energy.

\(\Rightarrow\) Kirchhoff's laws apply to circuits with linear, non-linear, active, passive, time-varying as well as time invariant elements.

\(\Rightarrow\) Kirchhoff's law is applicable to both AC and DC circuits.

QEE41.How is short circuit capacity measured in the fault analysis process?

1. It is the product of magnitudes of pre-fault current and post-fault current
2. It is the product of magnitudes of pre-fault voltage and post-fault current
3. It is the product of magnitudes of pre-fault current and post-fault voltage
4. It is the product of magnitudes of pre-fault voltage and post-fault voltage

Correct Ans: B

Solution:

Short circuit capacity \(= V_o \times I_{f}\)

Where,
\(V_0\) = Pre-fault voltage

\(I_f\) = Fault current

QEE42.In case of propogation in dielectric, the attenuation factor of the medium is measured in ________.

1. weber
2. weber/meter
3. neper
4. neper/meter

Correct Ans: D

Solution:

\(\Rightarrow\) In case of propogation in dielectric, the attenuation factor of the medium is measured in neper/meter or dB/meter.

QEE43.5 micrcowaber = __________ maxwell

1. 5
2. 500
3. 50
4. 5000

Correct Ans: B

Solution:

\(1\:Wb=10^8\:maxwells=10^8\:magnetic\:lines\)

\(5\:\mu Wb=5\times 10^{-6}\times10^8\:maxwells=500 \:maxwells\)

\(\mathbf{Note:}\)

\(\Rightarrow\) The SI unit of magnetic flux is Weber(Wb).

\(\Rightarrow\) Magnetic flux is denoted by the symbol \(\phi\).

QEE44.Which of the following equation is appropriate for the torque(T) developed in three-phase induction motor?

1. \(T = \frac{sE_2R_2^2}{\sqrt{R_2^2+sX_2^2}}\times\frac{1}{2\pi n_s}\)
2. \(T = \frac{E_2R_2}{\sqrt{R_2^2+sX_2^2}}\times\frac{3}{2\pi n_s}\)
3. \(T = \frac{sE_2^2R_2^2}{\sqrt{R_2^2+sX_2^2}}\times\frac{1}{2\pi n_s}\)
4. \(T = \frac{sE_2^2R_2}{\sqrt{R_2^2+sX_2^2}}\times\frac{3}{2\pi n_s}\)

Correct Ans: D

Solution:

\(\Rightarrow\) Torque(T) developed in three-phase induction motor is given by:


\(T = \frac{sE_2^2R_2}{\sqrt{R_2^2+sX_2^2}}\times\frac{3}{2\pi n_s}\)

QEE45.The average value of load voltage in a half-wave converter with resistive load can be varied by varying the thyristor firing angle. What is the relation between firing angle \((\alpha\)) and conduction angle \((\delta)\)?

1. \(\delta = \pi - \alpha\)