 
			 
			MCQOPTIONS
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				This section includes 17 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 loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is | 
| A. | π/20 | 
| B. | π/10 | 
| C. | -π/20 | 
| D. | Zero | 
| Answer» C. -π/20 | |
| 2. | The gain margin in dBs of a unity feedback control system whose open loop transfer function, G(s) H(s) =1/s(s+1) is | 
| A. | 0 | 
| B. | 1 | 
| C. | -1 | 
| D. | ∞ | 
| Answer» E. | |
| 3. | In a feedback control system, phase margin(PM) is1. Directly proportional to G2. Inversely proportional to G3. Independent of G4. Zero when G =0Which of the above statements are correct? | 
| A. | 1 and 2 | 
| B. | 2 and 3 | 
| C. | 3 and 4 | 
| D. | 1 and 4 | 
| Answer» E. | |
| 4. | The open loop transfer function of a system is :G(s) H(s) =K/ (1+s) (1+2s) (1+3s)The phase crossover frequency wpc is: | 
| A. | √2 | 
| B. | 1 | 
| C. | Zero | 
| D. | √3 | 
| Answer» C. Zero | |
| 5. | The phase angle of the system G(s) =s+5/s2+4s+9;varies between | 
| A. | 0° and 90° | 
| B. | 0° and -90° | 
| C. | 0° and -180° | 
| D. | -90° and -180° | 
| Answer» C. 0° and -180° | |
| 6. | The transfer function of a system is given by Y(s)/X(s) = e−0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be: | 
| A. | -39.27° | 
| B. | -45° | 
| C. | -50.73° | 
| D. | -90° | 
| Answer» D. -90° | |
| 7. | Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response.Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response. | 
| A. | Both A and R are true and R is the correct explanation of A | 
| B. | Both A and R are true and R is not the correct explanation of A | 
| C. | A is true but R is false | 
| D. | A is false but R is true | 
| Answer» B. Both A and R are true and R is not the correct explanation of A | |
| 8. | The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at: | 
| A. | 10 rad/sec | 
| B. | 8.66 rad/sec | 
| C. | 7.07 rad/sec | 
| D. | 5rad/sec | 
| Answer» D. 5rad/sec | |
| 9. | THE_GAIN_MARGIN_IN_DBS_OF_A_UNITY_FEEDBACK_CONTROL_SYSTEM_WHOSE_OPEN_LOOP_TRANSFER_FUNCTION,_G(S)_H(S)_=1/S(S+1)_IS?$ | 
| A. | 0 | 
| B. | 1 | 
| C. | -1 | 
| D. | ‚àû | 
| Answer» E. | |
| 10. | The_loop_transfer_function_of_a_system_is_given_by_G(s)_H(s)_=10e-Ls/s._The_phase_crossover_frequency_is_5rad/s._The_value_of_the_dead_time_L_is$ | 
| A. | π/20 | 
| B. | π/10 | 
| C. | -π/20 | 
| D. | Zero | 
| Answer» C. -‚âà√¨‚àö√ë/20 | |
| 11. | Which one of the following statements is correct for gain margin and phase margin of two closed-loop systems having loop functions G(s) H(s) and exp(-s) G(s) H(s)? | 
| A. | Both gain and phase margins of the two systems will be identical | 
| B. | Both gain and phase margins of G(s) H(s) will be more | 
| C. | Gain margins of the two systems are the same but phase margins of G(s) H(s) will be more | 
| D. | Phase margins of the two systems are the same but gain margin of G(s) H(s) will be less | 
| Answer» D. Phase margins of the two systems are the same but gain margin of G(s) H(s) will be less | |
| 12. | The open loop transfer function of a system is : | 
| A. | H(s) =K/ (1+s) (1+2s) (1+3s) | 
| B. | |
| C. | ‚àö2 | 
| Answer» C. ‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ2 | |
| 13. | The phase angle of the system G(s) =s+5/s2+4s+9;varies between | 
| A. | 0° and 90° | 
| B. | 0° and -90° | 
| C. | 0° and -180° | 
| D. | -90° and -180° | 
| Answer» C. 0¬¨¬®‚Äö√†√ª and -180¬¨¬®‚Äö√†√ª | |
| 14. | The critical value of gain for the system is 40. The system is operating at a gain of 20. The gain margin of the system is : | 
| A. | 2 dB | 
| B. | 3 dB | 
| C. | 6 dB | 
| D. | 4 dB | 
| Answer» D. 4 dB | |
| 15. | The transfer function of a system is given by Y(s)/X(s) = e‚àí0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be:$ | 
| A. | -39.27° | 
| B. | -45° | 
| C. | -50.73° | 
| D. | -90° | 
| Answer» D. -90¬¨¬®‚Äö√†√ª | |
| 16. | Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response. | 
| A. | : Large resonance peak in frequency response corresponds to a large overshoot in transient response. | 
| B. | Both A and R are true and R is the correct explanation of A | 
| C. | Both A and R are true and R is not the correct explanation of A | 
| D. | A is true but R is false | 
| Answer» B. Both A and R are true and R is the correct explanation of A | |
| 17. | The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at: | 
| A. | 10 rad/sec | 
| B. | 8.66 rad/sec | 
| C. | 7.07 rad/sec | 
| D. | 5rad/sec | 
| Answer» D. 5rad/sec | |