Instrumentation Engineering
GATE IN topic:instrumentation PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 650. Imported answers require independent review unless marked reviewed.
Question 31
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The current
drawn by a circuit is given as
The root-mean-square value of
is ________ A (rounded off to one decimal place).Log in to check the answer
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A linear potentiometer (0 − 10 kΩ) is used to measure the water level as shown in the figure. The resistance between A and C varies linearly from 0 to 10 kΩ for a change in water level from 0 to 20 cm. The sensor is excited using a DC voltage source,
V with an internal resistance,
. If
V, the water level is _____ cm (rounded off to one decimal place). 
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The switch in the following figure has been closed for a long time (
). It is opened at
seconds. The value of
at
is ________ V/s (rounded off to nearest integer). 
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Consider a system given by the following first order differential equation:
where,
and
. Using a step size
for the improved Euler method, the value of
at
is ________ (rounded off to two decimal places).Log in to check the answer
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Indian Premier League has divided the sixteen cricket teams into two equal pools: Pool-A and Pool-B. Four teams of Pool-A have blue log jerseys while the rest four have red log jerseys. Five teams of Pool-B have blue log jerseys while the rest three have red log jerseys.
If one team from each pool reaches the final, the probability that one team has a blue log jersey and another has a red log jersey is ______ (rounded off to one decimal place).
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A wire of circular cross section with radius
is shown in the figure. The current density is given by
, where
is a constant,
is the radial distance from the axis and
. The total current
in the wire is 
Your answerChoose one option.
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The measured values from a flow instrument, whose range is between 0 and 2 flow units, are shown in the histogram. The systematic error (bias) and the maximum error (in flow units), respectively are
Your answerChoose one option.
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Consider a discrete-time sequence
The region of convergence of
, the z-transform of
, consists ofYour answerChoose one option.
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In the bridge circuit shown in the figure, under balanced condition, the values of R and C respectively, are
Your answerChoose one option.
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Laplace transform of a signal
is
. Let
be the unit step function. Choose the signal
from the following options if the region of convergence is
.Your answerChoose one option.
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