Instrumentation Engineering
GATE IN year:2017 PYQs
Build your understanding with focused practice from past exam papers.
How to practice year:2017
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 1–10 of 65. Imported answers require independent review unless marked reviewed.
Question 1
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If v is a non-zero vector of dimension
, then the matrix
has a rank = ________Log in to check the answer
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The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is
Your answerChoose one option.
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Let
where
. Then
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The eigenvalues of the matrix
areYour 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 series R-L-C circuit is excited with a 50 V, 50 Hz sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor (
) is ______ V.
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The connection of two 2-port networks is shown in the figure. The ABCD parameters of
and
networks are given as
and
The ABCD parameters of the combined 2-port network are
Your answerChoose one option.
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A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at Node-1 is
V, then the voltage at Node-2 is ______ V.
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A periodic signal
is shown in the figure. The fundamental frequency of the signal
in Hz is ______.
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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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