Complete GATE IN 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

Question 43

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INMCQ2 marksNeeds review
In the figure shown, R = 1 kΩ and C = 0.1 μF. For a dc gain of −10, the 3 dB cut-off frequency (rounded off to one decimal place) is
Diagram for Instrumentation Engineering question 43

Assume the opamp is ideal.
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Question 44

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INMCQ2 marksNeeds review
Consider the feedback control system shown in the figure. The steady-state error

due to unit step reference

is
Diagram for Instrumentation Engineering question 44

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Question 45

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INMCQ2 marksNeeds review
The transfer function of a system is

Choose the range of

and

(in rad/s) from the following options such that the poles lie on the shaded region of the

-plane as shown in the figure.
Diagram for Instrumentation Engineering question 45

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