GATE In Scholarship Test
25 Questions
| Total Attempts: 97
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Questions and Answers
- 1.The root-locus diagram for a closed loop feedback system is shown in Figure The system is overdamped.
- A.
Only if zero < K < 1
- B.
Only if 1 < K < 5
- C.
Only if K > 5
- D.
If zero < K < 1 or K > 5
- 2.The Nyquist plot for the open-loop transfer function G(s) of a unity negative feedback system is shown in figure. if G(s) has no pole in the right half of splane, the number of roots of the system characteristic equation in the right half of s-plane is
- A.
Zero
- B.
1
- C.
2
- D.
3
- 3.The feedback control system in Figure is stable
- A.
for all K > Zero
- B.
Only if K > 1
- C.
Only if Zero < K < 1
- D.
None
- 4.Consider a system with the transfer function, G(s) = (s + 6) / {ks^2 + s + 6}. Its damping ratio will be 0.5 when the value of k is
- A.
2/6
- B.
3
- C.
1/6
- D.
6
- 5.A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has
- A.
A higher type number
- B.
Reduced damping
- C.
Higher noise amplification
- D.
Larger transient overshoot
- 6.The signal flow graph of a system is shown in figure. The transfer function C(S)/R(S) of the system is
- A.
A
- B.
B
- C.
C
- D.
D
- 7.
- A.
A
- B.
B
- C.
C
- D.
D
- 8.
- A.
A
- B.
B
- C.
C
- D.
D
- 9.
- A.
A
- B.
B
- C.
C
- D.
D
- 10.
- A.
A
- B.
B
- C.
C
- D.
D
- 11.
- A.
A
- B.
B
- C.
C
- D.
D
- 12.An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is
- A.
0.067
- B.
0.073
- C.
0.082
- D.
0.091
- 13.
- A.
A
- B.
B
- C.
C
- D.
D
- 14.
- A.
A
- B.
B
- C.
C
- D.
D
- 15.
- A.
A
- B.
B
- C.
C
- D.
D
- 16.
- A.
A
- B.
B
- C.
C
- D.
D
- 17.
- A.
A
- B.
B
- C.
C
- D.
D
- 18.
- A.
A
- B.
B
- C.
C
- D.
D
- 19.
- A.
A
- B.
B
- C.
C
- D.
D
- 20.
- A.
A
- B.
B
- C.
C
- D.
D
- 21.If z = xyln(xy), then
- A.
A
- B.
B
- C.
C
- D.
D
- 22.
- A.
A
- B.
B
- C.
C
- D.
D
- 23.
- A.
A
- B.
B
- C.
C
- D.
D
- 24.
- A.
1
- B.
Zero
- C.
-1
- D.
3.14
- 25.
- A.
A
- B.
B
- C.
C
- D.
D
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