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This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.
1. |
The step response of the system is c(t) = 10+8e-t-4/8e-2t . The gain in time constant form of transfer function will be: |
A. | -7 |
B. | 7 |
C. | 7.5 |
D. | -7.5 |
Answer» E. | |
2. |
Find the initial and final values of the following function:F(s) = 12(s+1)/s(s+2)^2(s+3) |
A. | 1,∞ |
B. | 0,∞ |
C. | ∞,1 |
D. | 0,1 |
Answer» E. | |
3. |
The forward path transfer function is given by G(s) = 2/s(s+3). Obtain an expression for unit step response of the system. |
A. | 1+2e-t+e-2t |
B. | 1+e-t-2e-2t |
C. | 1-e-t+2e-2t |
D. | 1-2e-t+e+2t |
Answer» E. | |
4. |
Find the type and order of the system given below: |
A. | 2,3 |
B. | 2,2 |
C. | 3,3 |
D. | None of the mentioned |
Answer» C. 3,3 | |
5. |
Let c(t) be the unit step response of a system with transfer function K(s+a)/(s+K). If c(0+) = 2 and c(∞) = 10, then the values of a and K are respectively. |
A. | 2 and 10 |
B. | -2 and 10 |
C. | 10 and 2 |
D. | 2 and -10 |
Answer» D. 2 and -10 | |
6. |
A system generated by The ramp component in the forced response will be: |
A. | t u(t) |
B. | 2t u(t) |
C. | 3t u(t) |
D. | 4t u(t) |
Answer» C. 3t u(t) | |
7. |
FIND_THE_INITIAL_AND_FINAL_VALUES_OF_THE_FOLLOWING_FUNCTION:?$ |
A. | = 12(s+1)/s(s+2)^2(s+3) |
B. | 1,‚àû |
C. | 0,‚àû |
D. | ‚àû,1 |
Answer» E. | |
8. |
The step response of the system is c(t) = 10+8e-t-4/8e-2t . The gain in time constant form of transfer function will be:$ |
A. | -7 |
B. | 7 |
C. | 7.5 |
D. | -7.5 |
Answer» E. | |
9. |
The_step_response_of_the_system_is_c(t)_=_10+8e-t-4/8e-2t_._The_gain_in_time_constant_form_of_transfer_function_will_be:$ |
A. | -7 |
B. | 7 |
C. | 7.5 |
D. | -7.5 |
Answer» E. | |
10. |
The forward path transfer function is given by G(s) = 2/s(s+3). Obtain an expression for unit step response of the system? |
A. | 1+2e<sup>-t</sup>+e<sup>-2t</sup> |
B. | 1+e<sup>-t</sup>-2e<sup>-2t</sup> |
C. | 1-e<sup>-t</sup>+2e<sup>-2t</sup> |
D. | 1-2e<sup>-t</sup>+e<sup>+2t</sup> |
Answer» E. | |
11. |
A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be: |
A. | A sinusoidal oscillation which decays exponentially; the system is therefore stable |
B. | A sinusoidal oscillation with a time multiplier ; the system is therefore unstable |
C. | A sinusoidal oscillation which rises exponentially ; the system is therefore unstable |
D. | A dc term harmonic oscillation the system therefore becomes limiting stable |
Answer» D. A dc term harmonic oscillation the system therefore becomes limiting stable | |
12. |
The damping ratio and peak overshoot are measures of: |
A. | Relative stability |
B. | Speed of response |
C. | Steady state error |
D. | Absolute stability |
Answer» C. Steady state error | |
13. |
Let c(t) be the unit step response of a system with transfer function K(s+a)/(s+K). If c(0+) = 2 and c(‚àû) = 10, then the values of a and K are respectively.$ |
A. | 2 and 10 |
B. | -2 and 10 |
C. | 10 and 2 |
D. | 2 and -10 |
Answer» D. 2 and -10 | |
14. |
The system in originally critically damped if the gain is doubled the system will be : |
A. | Remains same |
B. | Overdamped |
C. | Under damped |
D. | Undamped |
Answer» D. Undamped | |
15. |
Which of the following transfer function will have the greatest maximum overshoot? |
A. | 9/(s<sup>2</sup>+2s+9) |
B. | 16/(s<sup>2</sup>+2s+16) |
C. | 25/(s<sup>2</sup>+2s+25) |
D. | 36/(s<sup>2</sup>+2s+36) |
Answer» E. | |