Instrumentation Engineering
GATE IN concept:transfer-function PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:transfer-function
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–9 of 9. Imported answers require independent review unless marked reviewed.
Question 18
Open questionINMCQ1 markNeeds review
The sinusoidal transfer function corresponding to the pole plot shown in the figure, for
, is 
Your answerChoose one option.
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The input
to a system is related to its output
as
Here
represents a unit-step function.
The transfer function of this system is ______Your answerChoose one option.
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Open questionINMCQ2 marksNeeds review
Consider the transfer function
. Bilinear transformation with a sampling period of 0.1 s is employed to obtain the discrete-time transfer function
. Then
is ________Your answerChoose one option.
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A differentiator has a transfer function whose phase increases linearly with frequency
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The output
of a system is related to its input
as
where,
and
for
. The transfer function of the system isYour answerChoose one option.
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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)Log in to check the answer
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Unit step response of a linear time invariant (LTI) system is given by
. Assuming zero initial condition, the transfer function of the system isYour answerChoose one option.
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For a first order lowpass filter with unity d.c. gain and
dB corner frequency of
rad/s, the transfer function
isYour answerChoose one option.
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A system is described by the following differential equation:
where
and
are the input and output variables respectively. The transfer function of the inverse system isYour answerChoose one option.
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