GATE IN year:2019 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1 kHz. If the average power output is 1 mW, the average power over a single pulse duration, in watts, is

Your answerChoose one option.

100

1000

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Four identical resistive strain gauges with gauge factor of 2.0 are used in a Wheatstone bridge as shown in the figure below. Only one of the strain gauges

changes its resistance due to strain. If the output voltage

is measured to be 1 mV, the magnitude of strain, in units of microstrain, is

Diagram for Instrumentation Engineering question 42

Your answerChoose one option.

100

1000

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The frequency response of a digital filter

has the following characteristics Passband:

for

and Stopband:

for

, where

is the normalized angular frequency in rad/sample. If the analog upper cut off frequency for the passband of the above digital filter is to be 1.2 kHz, then the sampling frequency should be ______ kHz.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time

. If the capacitor has no charge for

, the voltage at node P at

is ______ V. (Answer should be rounded off to two decimal places)

Diagram for Instrumentation Engineering question 44

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the circuit shown below, the angular frequency

at which the current is in phase with the voltage is ______ rad/s.

Diagram for Instrumentation Engineering question 45

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The transfer function relating the input

to the output

of a system is given by

. A unit-step input is applied to the system at time

. Assuming that

, the value of

at time

is ______ (Answer should be rounded off to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The output of a continuous-time system

is related to its input

. If the Fourier transform of

and

are

and

respectively, and

, the value of

is ______ .

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A discrete-time signal

is down-sampled to the signal

such that

. The fundamental period of the down-sampled signal

is ______.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a control system with unity gain feedback, the transfer function of the loop-gain function is

. The phase margin of the loop-gain function

is ______ degree.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel length modulation, the output voltage

is ______ V.

Diagram for Instrumentation Engineering question 50

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN year:2019 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50