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GATE 2024 Control systems Rank Booster Quiz 11
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Question 1
The transfer function of a system is 10/(s2+2s+10). Find the nature of the given system.
Question 2
Match List-I with List-II and select the correct answer using the code given below the lists:
List-I
A)
B)
C)
D)
List-II
1) Underdamped
2) Critically damped
3) Undamped
4) Overdamped
List-I
A)
B)
C)
D)
List-II
1) Underdamped
2) Critically damped
3) Undamped
4) Overdamped
Question 3
Consider a causal second-order system with the transfer function 
with a unit-step 
as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value 
rounded off to two decimal places, is
with a unit-step as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value rounded off to two decimal places, is
Question 4
For the following feedback system
The 2% settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators C(s) achieves this?
The 2% settling time of the step response is required to be less than 2 seconds. Which one of the following compensators C(s) achieves this?
Question 5
The output of standard second – order system for a unit step input is given as 
. The transfer function of the system is
. The transfer function of the system isQuestion 6
Match List-I (System G(s)) with List-II (Nature of Response) and select the correct answer using the code given below the Lists:
List-I
A.
B.
C.
D.
List-II
1) Undamped
2) Critically damped
3) Underdamped
4) Overdamped
List-I
A.
B.
C.
D.
List-II
1) Undamped
2) Critically damped
3) Underdamped
4) Overdamped
Question 7
For a system with damping ratio = 0.316, natural frequency of oscillation = 3.162 rad/sec. Determine the Peak time(in sec).
(Give the answer upto 2 decimal places)
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