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GATE EC 2021: Control Systems Quiz 1
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Question 1
In the system shown below, x(t) = (sint) u (t). In steady-state, the response y(t) will be
![](https://gs-question-images.grdp.co/1446803323188572.jpg)
Question 2
A system with transfer function
has an output
the input signal
. Then, the system parameter ‘p’ is
![](https://gs-question-images.grdp.co/145813050113241.png)
![](https://gs-question-images.grdp.co/1458130501849923.png)
![](https://gs-question-images.grdp.co/1458130502522577.png)
Question 3
Consider two transfer functions
and
The 3-dB bandwidths of their frequency responses are respectively,
![](https://gs-question-images.grdp.co/1446803337770537.png)
![](https://gs-question-images.grdp.co/1446803338476424.png)
The 3-dB bandwidths of their frequency responses are respectively,
Question 4
The unit impulse response of a system is:
For this system, the steady-state value of the output for unit step input is equal to
![](https://gs-question-images.grdp.co/1449642942547946.png)
For this system, the steady-state value of the output for unit step input is equal to
Question 5
Which one of the following options correctly describes the locations of the roots of the equation s 4+s 2+1 =0 on the complex plane?
Question 6
Consider the signal x(t) shown in Figure. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slop of h(t) in the interval 3 < t <4sec is
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image287.png](https://gs-question-images.grdp.co/1458200815999335.png)
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image287.png](https://gs-question-images.grdp.co/1458200815999335.png)
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