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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)
![](https://gs-question-images.grdp.co/1459239542189197.png)
B)
![](https://gs-question-images.grdp.co/1459239542930123.png)
C)
![](https://gs-question-images.grdp.co/1459239543645539.png)
D)
![](https://gs-question-images.grdp.co/1459239544329466.png)
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ26655/1550741102753528.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ26655/1550741103521255.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ26655/1550741104278341.png)
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?
![](https://gradeup-question-images.grdp.co/liveData/PROJ6909/1502449050910732.png)
![](https://gs-post-images.grdp.co/2019/9/1-img1569146823981-22.png-rs-high-webp.png)
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
![Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image312.png](https://gs-question-images.grdp.co/145813180791921.png)
Question 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.
![](https://gs-question-images.grdp.co/1461758942945856.png)
B.
![](https://gs-question-images.grdp.co/1461758943681682.png)
C.
![](https://gs-question-images.grdp.co/1461758944413883.png)
D.
![](https://gs-question-images.grdp.co/1461758945097992.png)
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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Nov 20ESE & GATE EC