MCQOPTIONS
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MCQOPTIONS
This section includes 70 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A unity feedback control system has a forward path transfer function equal to\(\frac{{42.25}}{{s\left( {s + 6.5} \right)}}\)The unit step response of this system starting from rest, will have its maximum value at a time equal to |
| A. | 0 sec. |
| B. | 0.56 sec. |
| C. | 5.6 sec. |
| D. | infinity |
| Answer» E. | |
| 52. |
A system has the input-output relation \(\frac{{dc\left( t \right)}}{{dt}} + 2c\left( t \right) = r\left( t \right)\), where c(t) is the output and r(t) is the input to the system. Determine the unit step response of the system. |
| A. | c(t) = 0.5(1 + e-2t), t > 0 |
| B. | c(t) = 0.5(1 – e-2t), -∞ < t < ∞ |
| C. | c(t) = 0.5(1 – e-2t), t > 0 |
| D. | c(t) = 0.5(1 – e2t), t > 0 |
| Answer» D. c(t) = 0.5(1 – e2t), t > 0 | |
| 53. |
A control system has \(G\left( s \right) = \frac{{10}}{{s\left( {s + 5} \right)}}\) and H(s) = K. What is the value of K for which the steady-state error for unit-step input is less than 5%? |
| A. | 0.913 |
| B. | 0.927 |
| C. | 0.953 |
| D. | 1.05 |
| Answer» E. | |
| 54. |
If the characteristic equation of a closed-loop system is 2s2 + 6s + 6 = 0 then the system is |
| A. | Overdamped |
| B. | Crtically damped |
| C. | Underdamped |
| D. | Undamped |
| Answer» D. Undamped | |
| 55. |
For a second-order system 2d2y/dt2 + 4 dy/dt + 8y = 8x, what is the damping ratio? |
| A. | 0.1 |
| B. | 0.25 |
| C. | 0.33 |
| D. | 0.5 |
| Answer» E. | |
| 56. |
For the function \(F\left( s \right) = \frac{1}{{s\left( {{s^2} + 2s + 2} \right)}}\) the initial and final values are: |
| A. | 0, 0.5 |
| B. | 0, 2 |
| C. | 1, 0.5 |
| D. | 1, 2 |
| Answer» B. 0, 2 | |
| 57. |
A system having T.F. \(\frac{1}{{s + 1}}\) is excited by a step function of magnitude ‘3’. The time required by output to reach up to 96% of its steady state value is |
| A. | 0.54 sec |
| B. | 1.23 sec |
| C. | 2.08 sec |
| D. | 3.22 sec |
| Answer» E. | |
| 58. |
Peak time tp, is the time required for the response to reach the ______ peak of the over shoot |
| A. | 1st |
| B. | 2nd |
| C. | 3rd |
| D. | none of these |
| Answer» B. 2nd | |
| 59. |
In the transient response of a second order system, delay time td is the time required for the response to reach the ____________ of the final value |
| A. | half |
| B. | 1/√2 |
| C. | 25% |
| D. | 10% |
| Answer» B. 1/√2 | |
| 60. |
A second order pressure transducer has a natural frequency of 30 rad/sec, static sensitivity K = 1.0 μV/Pa. When a step pressure input of 8 × 103 N/m2 is applied, damped frequency of 29.85 rad/sec is observed. The damping ration of the transducer is |
| A. | Zero |
| B. | 0.707 |
| C. | 1.0 |
| D. | 0.1 |
| Answer» E. | |
| 61. |
A unit-step input to a first-order system G(s) yields a response as shown in the figure. This can happen when the values of K and a, respectively, are |
| A. | 10 and 10 |
| B. | 50 and 10 |
| C. | 10 and 5 |
| D. | 50 and 5 |
| Answer» C. 10 and 5 | |
| 62. |
For a Type-1 System with ramp input, the steady state error is ________. |
| A. | Infinity |
| B. | Zero |
| C. | \(\frac{A}{{1 + {k_p}}}\) |
| D. | \(\frac{A}{{{k_v}}}\) |
| Answer» E. | |
| 63. |
For a second order system settling time is Ts = 7 s and peak time is Tp = 3 s. The location of poles are |
| A. | – 0.97 ± j0.69 |
| B. | – 0.69 ± j0.97 |
| C. | – 1.047 ± j0.571 |
| D. | – 0.571 ± j1.047 |
| Answer» E. | |
| 64. |
For the unit step response of second order system following statements are given:(A) Delay time is the time required for the response to reach 60% of the final value in first attempt(B) Settling time is the time required for the response to reach and stay within (2% or 5%) tolerance band of its final value(C) Delay time is the time required for the response to reach 50% of the final value in first attempt(D) Settling time is the time required for the response to reach and stay withing 15% of the final valueWhich of the above are correct?Choose the correct answer from the options given below: |
| A. | (A) and (B) only |
| B. | (B) and (C) only |
| C. | (C) and (D) only |
| D. | (A) and (D) only |
| Answer» C. (C) and (D) only | |
| 65. |
If the characteristic equation of a closed loop system is s2 + 2s + 2 = 0, then the system is |
| A. | overdamped |
| B. | critically damped |
| C. | underdamped |
| D. | undamped |
| Answer» D. undamped | |
| 66. |
If transfer function of a system is 1 / (τs + 1), then steady state error to unit step input is |
| A. | 0.5 |
| B. | zero |
| C. | infinite |
| D. | none of these |
| Answer» B. zero | |
| 67. |
An undamped system has a ________ response. |
| A. | Oscillatory |
| B. | Sustained Oscillation |
| C. | Non-Oscillatory |
| D. | Undeterminable |
| Answer» C. Non-Oscillatory | |
| 68. |
A proportional controller with transfer function, Kp is used with a first—order system having its transfer function as \(G(s)=\frac{K}{(1+sτ)}\) in unity feedback structure. For step inputs, an increase in Kp will |
| A. | Increase the time constant and decrease the steady state error |
| B. | Decrease the time constant and decrease the steady state error |
| C. | Decrease the time constant and increase the steady state error |
| D. | Increase the time constant and increase the steady state error |
| Answer» C. Decrease the time constant and increase the steady state error | |
| 69. |
A unity feedback system with open loop transfer function \({\rm{G}}\left( {\rm{s}} \right) = \frac{9}{{{\rm{s}}\left( {{\rm{s}} + {\rm{P}}} \right)}}\) is critically damped. The value of the parameter ‘P’ is |
| A. | 6 |
| B. | 3 |
| C. | 2 |
| D. | 9 |
| Answer» B. 3 | |
| 70. |
Consider the following statements regarding the steady-statete error due to a step function input.(a) Type ‘0’ system \({e_{ss}} = \frac{R}{{1 + {K_p}}}\) (b) Type ‘0’ system ess = 0(c) Type ‘1’ system ess = 0(d) Type ‘1’ system ess = ∞Which of the above statements are correct? |
| A. | (a) and (b) |
| B. | (b) and (c) |
| C. | (a) and (c) |
| D. | (a) and (d) |
| Answer» D. (a) and (d) | |