GATE IN year:2025 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

In a single-phase AC circuit, the power consumed by load resistance

for an excitation

is measured using a wattmeter. The same wattmeter is connected in two different topologies, Topology-A and Topology-B, as shown in the figure. Different branch currents and voltage drops are also marked in the figure. Among the following options, the condition that ensures low error in the wattmeter reading for both the topologies is

Diagram for Instrumentation Engineering question 21

Your answerChoose one option.

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

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Match the following sensors with their most suitable applications.

Sensor	Application
P Rotary Variable Differential Transformer	I Vacuum measurement
Q Thermocouple	II Force measurement
R Ionization Gauge	III Angular displacement measurement
S Strain Gauge	IV Temperature measurement

Your answerChoose one option.

P – II, Q – III, R – I, S – IV

P – I, Q – IV, R – II, S – III

P – III, Q – IV, R – II, S – I

P – III, Q – IV, R – I, S – II

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A 3½ digit digital voltmeter has a specified accuracy of

. If it is used to measure 10 V DC voltage, the error in the measurement would be

Note: Accuracy of the digital voltmeter is expressed as ± (% of reading + digit).

Your answerChoose one option.

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The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances

, and

in the equivalent T-model are

Diagram for Instrumentation Engineering question 24

Your answerChoose one option.

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Three parallel admittances

, and

connected in parallel with a voltage source

, draw a total current

from the source. The currents flowing through each of these admittances are

, and

, respectively. Let

. The phase relation between

and

Your answerChoose one option.

leads

lags

leads

lags

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An oscilloscope has an input resistance of 1 M

. A 10X passive attenuating probe is connected to it to increase the input voltage range as well as the effective input resistance. The effective input resistance, in M

, seen into the probe tip is

Your answerChoose one option.

0.9

9.1

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For the transfer function

, the number of zeros lying in the left half of the s-plane is

Your answerChoose one option.

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Consider the control system block diagram given in Figure (a). The loop transfer function

does not have any pole on the

-axis. The counterclockwise contour with infinite radius, as shown in Figure (b), encircles two poles of

. Choose the correct statement from the following options for closed loop stability of the system.

Diagram for Instrumentation Engineering question 28

Your answerChoose one option.

The locus of

should encircle the origin twice in the counterclockwise direction

The locus of

should encircle the origin twice in the clockwise direction

The locus of

should encircle the

point twice in the counterclockwise direction

The locus of

should encircle the

point twice in the clockwise direction

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A Boolean function X is given as

. The reduced form of

Your answerChoose one option.

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A 60 V DC source with an internal resistance

is connected through a switch to a pair of infinitely long rails separated by

as shown in the figure. The rails are placed in a constant, uniform magnetic field of flux density

, directed into the page. A conducting bar placed on the rails is free to move. At the instant of closing the switch, the force induced on the bar is

Note: Assume there is no friction between the bar and the rails. The resistances of the conducting bar and the rails are zero.

Diagram for Instrumentation Engineering question 30

Your answerChoose one option.

60 N in the direction of

60 N opposite to the direction of

120 N in the direction of

120 N opposite to the direction of

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GATE IN year:2025 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30