Govt Exams Mock Test FREE | Online Quiz Competition

Q1. A system's transfer function is \( G(s) = \frac{K}{s(s+1)(s+2)} \). What value of \( K \) ensures that the system is critically damped?

\( K = 1 \)

\( K = 2 \)

\( K = 3 \)

\( K = 4 \)

Q2. The steady state response of a LTI system having transfer function \(\frac{s}{s+3}\) with sinusoidal input \(r(t) = 7 \cos(3t - 40^o)\) is

\(7\cos 3t\)

\(7\sqrt{2}\cos (3t-45^o)\)

\(7 \cos (3t+5^o)\)

\(\frac{7}{\sqrt{2}} \cos (3t+5^o)\)

Q3. A unity feedback control system has an open loop transfer function
\(G(s)=\frac{K}{s(s+1)(s+2)(s+3)}\)

The centroid of the asymptotes in root-locus will be ________.

\(-1\)

\(-1.5\)

\(0\)

\(2\)

Q4. The region in the complex plane where the roots of the characteristic equation must lie for a stable system is:

Right-half plane (RHP)

Left-half plane (LHP)

Imaginary axis

Unit circle

Q5. Time constant is defined as the time taken by the response of the system to reach ______________?

100% of the final value

70.7% of the final value

63% of the final value

50% of the final value

Q6. Which term indicates how much system gain can be increased before instability?

Stability Margin

Gain Margin

Phase Margin

Bode Margin

Q7. Bimetallic thermostat is_______ controller.

PID

PI

PD

on-off

Q8. If the poles of a control system are (-0.2 +j3) and (-0.2 – j13), the system is _________.

Marginally stable

Unstable

Stable

All of these

Q9. In Electric iron, thermostat is an example of ________ control action.

Integral

Proportional Integral Derivative

Proportional

On-Off

Q10. Which of the following option represents the lead compensator?

\(\frac{(s+2)}{(s+5)}\)

\(\frac{(s+5)}{(s+6)}\)

\(\frac{(s+2)}{(s+1)}\)

Both 1 & 2

Quiz

Year 2025

January
Week # 1 Quiz 4

Q1. A system's transfer function is \( G(s) = \frac{K}{s(s+1)(s+2)} \). What value of \( K \) ensures that the system is critically damped?

Q2. The steady state response of a LTI system having transfer function \(\frac{s}{s+3}\) with sinusoidal input \(r(t) = 7 \cos(3t - 40^o)\) is

Q3. A unity feedback control system has an open loop transfer function
\(G(s)=\frac{K}{s(s+1)(s+2)(s+3)}\)

The centroid of the asymptotes in root-locus will be ________.

Q4. The region in the complex plane where the roots of the characteristic equation must lie for a stable system is:

Q5. Time constant is defined as the time taken by the response of the system to reach ______________?

Q6. Which term indicates how much system gain can be increased before instability?

Q7. Bimetallic thermostat is_______ controller.

Q8. If the poles of a control system are (-0.2 +j3) and (-0.2 – j13), the system is _________.

Q9. In Electric iron, thermostat is an example of ________ control action.

Q10. Which of the following option represents the lead compensator?

Quiz

Year 2025

December Week # 2 Expire on 07 Jan 2025

December Week # 3 Expire on 14 Jan 2025

December Week # 4 Expire on 21 Jan 2025

January Week # 1 Expire on 31 Jan 2025

January Week # 1 Quiz 4

Q1. A system's transfer function is \( G(s) = \frac{K}{s(s+1)(s+2)} \). What value of \( K \) ensures that the system is critically damped?

Q2. The steady state response of a LTI system having transfer function \(\frac{s}{s+3}\) with sinusoidal input \(r(t) = 7 \cos(3t - 40^o)\) is

Q3. A unity feedback control system has an open loop transfer function \(G(s)=\frac{K}{s(s+1)(s+2)(s+3)}\) The centroid of the asymptotes in root-locus will be ________.

Q4. The region in the complex plane where the roots of the characteristic equation must lie for a stable system is:

Q5. Time constant is defined as the time taken by the response of the system to reach ______________?

Q6. Which term indicates how much system gain can be increased before instability?

Q7. Bimetallic thermostat is_______ controller.

Q8. If the poles of a control system are (-0.2 +j3) and (-0.2 – j13), the system is _________.

Q9. In Electric iron, thermostat is an example of ________ control action.

Q10. Which of the following option represents the lead compensator?

Record & Track Your Performance

January
Week # 1 Quiz 4

Q3. A unity feedback control system has an open loop transfer function
\(G(s)=\frac{K}{s(s+1)(s+2)(s+3)}\)

The centroid of the asymptotes in root-locus will be ________.