Previous Years Papers

Q1. Which of the following is not equivalent to watts?

1. \(ampere \times volt\)
2. \((ampere)^2\times ohm\)
3. \( ampere / volt \)
4. \(joules / sec \)

Correct Ans: C

Q2.Constant voltage source is

1. active and unilateral
2. active and bilateral
3. passive and bilateral
4. passive and unilateral

Correct Ans: A

Q3.Kirchhoff's laws are valid for

1. both linear and nonlinear circuits
2. linear circuits only
3. passive time invariant circuits
4. nonlinear circuits only

Correct Ans: A

Q4.The emf of primary cell depends upon the

1. nature of electrolyte and nature of electrode
2. physical dimensions of a cell
3. nature of electrolyte
4. nature of electrode

Correct Ans: A

Q5.Cells are connected in parallel in order to increase the

1. current capacity
2. life of the cells
3. efficiency
4. voltage rating

Correct Ans: A

Q6.For the protection of power system against travelling waves, we use

1. surge diverters
2. earthing screens
3. over head ground Wires
4. none

Correct Ans: A

Q7.The rate of rise of restriking voltage depends on

1. both inductance and capacitance of the system
2. the type of circuit breaker
3. the inductance of the system only
4. the capacitance of the system only

Correct Ans: A

Q8.The capacitance of a capacitor is___________relative permittivity.

1. directly proportional to
2. inversely proportional to
3. independent of
4. directly proportional to square of

Correct Ans: A

Q9.A circuit component that opposes the change in circuit voltage is

1. capacitance
2. resistance
3. inductance
4. all

Correct Ans: A

Q10.The current through series RLC circuit under resonance condition will be

1. \(\frac{V}{R}\)
2. \(\frac{V}{X_C}\)
3. \(\frac{V}{X_L}\)
4. none

Correct Ans: A

Q11.The dynamic resistance of a parallel resonant circuit is given by

1. \(\frac{L}{CR}\)
2. \(\frac{LC}{R}\)
3. \(LCR\)
4. \(\frac{C}{LR}\)

Correct Ans: A

Q12.The rated voltage of three phase power system is given as

1. rms phase voltage
2. rms line to line voltage
3. Peak phase voltage
4. Peak line to line voltage

Correct Ans: B

Q13.To improve the power factor in three phase circuits, the capacitor bank is connected in delta to make

1. capacitance very small
2. capacitance calculation easy
3. the connection elegant
4. the power factor correction more effective

Correct Ans: A

Q14.If the reading of two wattmeters are equal and positive in two wattmeter method, the load power factor in a balanced 3-phase 3-wire circuit will be

1. unity
2. zero
3. 0.5
4. 0.866

Correct Ans: A

Q15.In a 3-phase supply, floating neutral is undesirable because it may result in____________across the load.

1. unequal line voltage
2. high voltage
3. low voltage
4. none

Correct Ans: A

Q16.For which one of the following material, is the Hall Coefficient zero?

1. Intrinsic semiconductor
2. Metal
3. Insulator
4. Alloy

Correct Ans: B

Q17.Conductivity of aluminium is_________time of that of copper.

1. 0.6
2. 1.63
3. 2.5
4. 0.4

Correct Ans: A

Q18.Liquid crystal material is used in

1. display devices and thermal sensors
2. ultrasonic amplification and display devices
3. thermal sensors and transducers
4. transducers and ultrasonic amplification

Correct Ans: A

Q19.The rating of fuse wire is always expressed in \(_{-----------}\)

1. amperes
2. volts
3. ampere-volts
4. ampere hours

Correct Ans: A

Q20.The thickness of insulation provided on the conductor depends upon

1. voltage rating
2. current rating
3. current rating and voltage rating
4. none

Correct Ans: A

Q21.Which one of the following is not true for Sulphur Hexafluoride gas?

1. It is highly inflammable
2. It is electronegative in nature
3. It has high dielectric strength
4. It is non toxic

Correct Ans: A

Q22.A fuse is

1. never inserted in neutral wire
2. normally inserted in phase wire
3. normally inserted in neutral wire
4. never inserted in phase wire

Correct Ans: B

Q23.Lamps in street lighting are all connected in

1. parallel
2. series
3. series-parallel
4. end-to-end

Correct Ans: A

Q24.Galvanized steel wire is usually used as

1. all
2. stay wire
3. structural components
4. earth wire

Correct Ans: A

Q25.In hydro power station what is an enlarged body of water just above the intake and used as a regulating reservoir,called

1. Forebay
2. Spill ways
3. Penstock
4. Reservoir

Correct Ans: A

Q26.The efficiency of a nuclear power plant is less than that of a conventional fuel fired thermal plant because of

1. low temperature and pressure conditions
2. higher temperature conditions
3. less rejection of heat in the condenser
4. higher pressure conditions

Correct Ans: A

Q27.As the size of a thermal generating unit increases,the capital cost per KW of installed capacity

1. decreases
2. increases
3. remain the same
4. may increase or decrease

Correct Ans: A

Q28.The efficiency of solar cell is about

1. 0.15
2. 0.25
3. 0.4
4. 0.6

Correct Ans: A

Q29.The function of a surge tank is to

1. relieve water hammer pressure in the penstock pipe
2. supply water at constant pressure
3. produce surge in the pipeline
4. none

Correct Ans: A

Q30.A power system needs injection of VARs at

1. both peak and off-peak load
2. off peak load
3. full load
4. peak load

Correct Ans: A

Q31.The output of a solar cell is of the order of

1. 5W
2. 10 W
3. 1W
4. 20 W

Correct Ans: C

Q32.Water hammer occurs in

1. penstock
2. surge tank
3. turbine casing
4. draft tube

Correct Ans: A

Q33.In thermal power plants, the pressure in the working fluid cycle is developed by

1. feed water pump
2. superheater
3. condenser
4. turbine

Correct Ans: A

Q34.The injection of VARs is required to

1. get a good voltage profile
2. compensate for line losses
3. increase the voltage at the receiving end
4. all

Correct Ans: A

Q35.On which one of the following cycles does a modern steam power plant work?

1. Rankine cycle
2. Otto Cycle
3. Carnot cycle
4. Bell-Coleman cycle

Correct Ans: A

Q36.Load shedding is done to

1. improve power factor
2. reduced peak demand
3. run the equipment efficiently
4. repair the machine

Correct Ans: B

Q37.Control rods used in nuclear reactors are made of

1. boron
2. zirconium
3. lead
4. beryllium

Correct Ans: A

Q38.In a load duration curve for an integrated power system, the uppermost crest represents the energy contributed by which one of the following?

1. Non-conventional power stations
2. Basepower stations
3. Major thermal stations
4. Peaking hydro or gas turbine stations

Correct Ans: A

Q39.Demand factor is defined as:

1. average load/maximum load
2. maximum load/connected load
3. connected load/maximum load
4. maximum load./average load

Correct Ans: B

Q40.In a superheater

1. temperature rises and pressure remains unchanged
2. temperature rises and pressure drops
3. pressure rises and temperature drops
4. pressure rises and temperature remains the same

Correct Ans: A

Q41.A synchronous condenser is virtually a/an

1. over-excited synchronous motor
2. induction motor
3. under-excited synchronous motor
4. commutator motor

Correct Ans: A

Q42.The volume of copper required for an ac transmission line is inversely proportional to

1. voltage and power factor
2. current
3. voltage
4. power factor

Correct Ans: A

Q43.Effect of temperature rise in overhead lines is to

1. increase the sag and decrease the tension
2. decrease the sag and increase the tension
3. increase both
4. decrease both

Correct Ans: A

Q44.The voltages across the various discs of a string of suspension insulators having identical discs is different due to

1. shunt capacitance to ground
2. surface leakage currents
3. series capacitance
4. series and shunt capacitances

Correct Ans: A

Q45.The main function of economiser of a boiler plant is to

1. reduce fuel consumption
2. increases steam production
3. increase life of the boiler
4. increase steam pressure

Correct Ans: A

Q46.The effect of corona is ….

1. increased energy loss
2. increased inductance
3. increased reactance
4. All the above

Correct Ans: A

Q47.The inductance of the power transmission line increases with

1. decrease in line length
2. increase in diameter of the conductor
3. increase in spacing between conductors
4. increase in load current

Correct Ans: C

Q48.If the effect of earth is taken into account, then the capacitance of line to ground

1. increases
2. decreases
3. remains unaltered
4. becomes infinite

Correct Ans: A

Q49.Ferranti effect happens in transmission line when the line is

1. long and unloaded
2. long and loaded
3. short and loaded
4. none

Correct Ans: A

Q50.For a lossy transmission line, the characteristic impedance does not depend on

1. length of the line
2. the operating frequency of the line
3. the conductivity of the conductors
4. conductivity of the dielectric separating the conductors

Correct Ans: A

Q51.Bundled conductors are employed to improve

1. corona performance of the line
2. mechanically stability of the line
3. appearance of the transmission line
4. current carrying capacity of the line

Correct Ans: A

Q52.Back to back HVDC is used to

1. provide stable interconnection
2. increase the transmission capability
3. decrease line losses
4. reduce voltage drop

Correct Ans: A

Q53.The most accurate and versatile method of achieving reactive power compensation is by using

1. switched capacitor with controlled reactors
2. fixed capacitor with controlled reactor
3. switched capacitors
4. saturable reactor with capacitor bank

Correct Ans: A

Q54.If the separation between the three phases of a transmission line is increased then

1. the inductance will increase and the capacitance will decrease
2. the inductance will increase and capacitance will remain unchanged
3. both the inductance and capacitance will increase
4. the inductance will decrease and the capacitance will increase

Correct Ans: A

Q55.Feeder is designed mainly from the point of view of

1. its current carrying capacity
2. voltage drop in it
3. operating voltage
4. operating frequency

Correct Ans: A

Q56.By increasing the transmission voltage to double of its original value the same power can be dispatched keeping the line loss

1. one fourth of original value
2. equal to original value
3. half the original value
4. double the original value

Correct Ans: A

Q57.What is SCADA?

1. process
2. system
3. software
4. hardware

Correct Ans: A

Q58.In a transmission system, the weight of copper used is proportional to

1. \(E\)
2. \(\frac{1}{E^2}\)
3. \(E^2\)
4. \(\frac{1}{E}\)

Correct Ans: B

Q59.In a 3-phase, 4-wire cable the cross sectional area of neutral conductor is

1. equal to the area of phase conductor
2. half of the area of phase conductor
3. double the area of phase conductor
4. 1.5 times the area of phase conductor

Correct Ans: B

Q60.The power factor of an open ended cable can be improved by

1. increasing the insulation resistance
2. increasing the capacitance
3. decreasing the capacitance
4. increasing the conductor resistance

Correct Ans: A

Q61.The lead sheath of the cable may get damaged due to

1. anyone
2. mechanically injury
3. crystallisation of lead through vibrations
4. chemical action with impurities present in the soil when buried in earth

Correct Ans: A

Q62.SCADA is

1. all
2. real time data acquisition and processing
3. data storing
4. data monitoring and control

Correct Ans: A

Q63.Fiber-optic cables are used in power system applications mainly for

1. all
2. SCADA
3. communication between power station and substation
4. communication between power station and load control center

Correct Ans: A

Q64.The most common type of fault is

1. single phase to ground
2. phase-to-phase
3. two-phase-to-ground
4. three-phase to ground

Correct Ans: A

Q65.The stability of arc in vacuum depends on

1. the contact material with its vapour pressure and the circuit parameters
2. the contact material only
3. the contact material and its vapour pressure
4. the circuit parameters only

Correct Ans: A

Q66.In air blast circuit breaker resistance switching is used to

1. damp out the fast transient
2. reduce the magnitude of fault current
3. control the CB operating time
4. change the fault current power factor

Correct Ans: A

Q67.The booster is inserted in the circuit to

1. compensate for voltage drop
2. increase current
3. reduce current
4. reduce voltage drop

Correct Ans: A

Q68.Circuit breakers usually operate under

1. sub-transient state of short circuit current
2. steady short circuit current
3. transient state of short circuit current
4. none

Correct Ans: C

Q69.Current rating is not necessary in case of

1. isolators
2. circuit breakers
3. load break switches
4. circuit breakers and load break switches

Correct Ans: A

Q70.Steady state stability of power system is improved by

1. reducing fault clearing time
2. decreasing generator inertia
3. single pole switching
4. using double circuit line instead of single circuit line

Correct Ans: D

Q71.The draught which a chimney produces is called

1. natural draught
2. induced draught
3. forced draught
4. balanced draught

Correct Ans: A

Q72.The diversity factor is always

1. equal to 1
2. less than 1
3. greater than 1
4. none of the above

Correct Ans: C

Q73.For an overhead line, the surge impedance is taken as

1. 100-200 ohms
2. 20-40 ohms
3. 70-80 ohms
4. 500-1000 ohms

Correct Ans: A

Q74.Which of the following relays is used on long transmission lines ?

1. Mho's relay
2. Impedance relay
3. Reactance relay
4. none

Correct Ans: A

Q75.Power system stability is least affected by

1. input torque
2. losses
3. reactance of generator
4. reactance of transmission line

Correct Ans: B

Q76.The charging current in the cables

1. leads the voltage by \(90^\circ\)
2. leads the voltage by \(180^\circ\)
3. lags the voltage by \(90^\circ\)
4. lags the voltage by \(180^\circ\)

Correct Ans: A

Q77.Burden of a protective relay is the power

1. absorbed by the circuit of relay
2. required to operate the circuit breaker
3. developed by the relay circuit
4. none

Correct Ans: A

Q78.Arc in a circuit breaker is interrupted at

1. zero current
2. maximum current
3. minimum voltage
4. maximum voltage

Correct Ans: A

Q79.The minimum dielectric stress in a cable is at

1. bedding
2. armour
3. conductor surface
4. lead sheath

Correct Ans: D

Q80.If the length of a cable is doubled, its capacitance

1. becomes double
2. becomes one-fourth
3. becomes one-half
4. remains unchanged

Correct Ans: A

Q81.Who called Subhashchandra Bose as Desh Nayak?

1. Rabindranath Tagore
2. Lala Lajpat Rai
3. Mahatma Gandhi
4. Bal Gangadhar Tilak

Correct Ans: A

Q82.Which Article of the Constitution provides freedom to manage religious affairs?

1. Article 26
2. Article 25
3. Article 27
4. Article 28

Correct Ans: A

Q83.The Mid Day Meal Scheme was launched on

1. August 15,1995
2. August 15,2000
3. August 15,1992
4. August 15,2001

Correct Ans: A

Q84.What is india's rank in the 2017 Global Peace Index as per global think tank Institute for Economics and Peace(IEP)?

1. \(137^{th}\)
2. \(141^{st}\)
3. \(133^{rd}\)
4. \(155^{th}\)

Correct Ans: A

Q85.The World Milk Day (WMD) is observed on which date?

1. \(1^{st}\) june
2. \(3^{rd}\) june
3. \(4^{th}\) june
4. \(5^{th}\) june

Correct Ans: A

Q86.Who wrote the famous book-"We the people"?

1. Nani Palkhivala
2. T.N.Kaul
3. J.R.D.Tata
4. Khushwant Singh

Correct Ans: A

Q87.Who was known as Iron man of india?

1. Sardar Vallabhbhai Patel
2. Govind Ballabh Pant
3. Jawaharlal Nehru
4. Subhash Chandra Bose

Correct Ans: A

Q88.Who is the first Asian Winner of Nobel Prize?

1. Rabindranath Tagore
2. C.V.Raman
3. Dalai Lama
4. Mother Teresa

Correct Ans: A

Q89.Who is the CJI (chief justice of india)?

1. Jagdish Singh Khehar
2. T.S.Thakur
3. H.L.Dattu
4. Altamas Kabir

Correct Ans: A

Q90.Who is the Revenue Minister of Gujarat State?

1. Bhupendrasinh Chudasma
2. Vijaybhai Rupani
3. Nitinbhai Patel
4. Ganpatbhai Vasava

Correct Ans: A

Q91.Person who does not believe in the existence of God ?

1. Atheist
2. Theist
3. Heretic
4. Fanatic

Correct Ans: A

Q92.Give Antonym: Underhand

1. Exposed
2. Hidden
3. Surreptitious
4. Obscure

Correct Ans: A

Q93.Give Synonym: Cease

1. Stop
2. Begin
3. Create
4. Dull

Correct Ans: A

Q94.Possessive Pronoun in sentence"Unless they do all of their homework,they won't allow to play"is

1. their
2. they
3. won't
4. unless

Correct Ans: A

Q95.After him in my life I _______see things differently now

1. can
2. begin
3. been
4. being

Correct Ans: A

Q96.I________tennis Sunday morning.

1. play
2. playing
3. am playing
4. am play

Correct Ans: A

Q97.Sorry, She can't come to the phone. She________a bath.

1. is having
2. having
3. have
4. has

Correct Ans: A

Q98.What time________

1. does the train leave?
2. the train leaves?
3. leaves the train?
4. is the train leaving?

Correct Ans: A

Q99.There are _________views on the issue of giving bonus to the employees

1. divergent
2. independent
3. modest
4. adverse

Correct Ans: A

Q100.Give synonym: Cancel

1. Abolish
2. Approve
3. Allow
4. Break

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

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

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

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

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

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

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.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: