Instrumentation Engineering
GATE IN format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 360. Imported answers require independent review unless marked reviewed.
Question 38
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A straight thin wire carrying a current of
A in the direction
is placed inside a magnetic field of
T. The force per unit length on the wire is ____ N/m.Your answerChoose one option.
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A two-port network has z-parameters
, and
. The value of
such that maximum power is transferred to
is ________
. 
Your answerChoose one option.
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In the circuit shown below, the value of the output voltage
is ____ V. 
Your answerChoose one option.
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A signal
is shown below. The plot of
is shown in _____. 
Your answerChoose one option.
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In the table shown below, List-I are the system responses to input
and List-II are the system properties. The correct matching is ____.List-I
(M)
(N)
(O)
(P)
List-II
(I) Linear and Time-invariant
(II) Non-linear and Time-varying
(III) Linear and Time-varying
(IV) Non-linear and Time-invariant
Your answerChoose one option.
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Given two signals:
, and
.If
, then
is _____.Your answerChoose one option.
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A linear time invariant (LTI) system is described by:
The poles of the system are ____.
Your answerChoose one option.
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In the circuit shown below, R is 1 kΩ and R_f is 10 kΩ. If V_in is 100 mV and the op-amps have supply voltages of ±15 V, then V_out is ______ V.

Your answerChoose one option.
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In the following active filter circuit with ideal op-amps, R is 1 kΩ, C is 1 μF, and V_in has an amplitude of 1 V at 1000 rad/s.
The amplitude of V_out is _________ V.

Your answerChoose one option.
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The initial state of Q₃Q₂Q₁Q₀ in the digital circuit shown below is 1011.
The new value of Q₃Q₂Q₁Q₀ after two rising edges of the clock (CLK) will be _____.

Your answerChoose one option.
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