Instrumentation Engineering
GATE IN format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 360. Imported answers require independent review unless marked reviewed.
Question 16
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Let a continuous-time signal be
, where
and
is in seconds. The fundamental period of magnitude of
, in seconds, isYour answerChoose one option.
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The minimized expression of the Boolean function Y(P, Q, R) implemented by the multiplexer (MUX) circuit shown in the figure is

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The 4-bit signed 2’s complement form of
isYour answerChoose one option.
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An infinite sheet of uniform charge
is placed on
plane. The medium surrounding the sheet has a relative permittivity of 10. The electric flux density, in
, at a point P(0, 0, 5) isNote:
,
, and
are unit vectors along the x, y, and z directions, respectively.Your answerChoose one option.
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For the ideal opamp based circuit shown in the figure, the ratio
is 
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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 
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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.
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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 beNote: 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 
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
isYour answerChoose one option.
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