Instrumentation Engineering
GATE IN topic:instrumentation PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 650. Imported answers require independent review unless marked reviewed.
Question 41
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A signal
is shown below. The plot of
is shown in _____. 
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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 ____.
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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.

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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.

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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 _____.

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A closed Lissajous pattern observed on an oscilloscope in the X – Y mode has three horizontal tangencies and two vertical tangencies in steady state. If the signal-frequency on channel-X is 600 Hz, then the signal-frequency on channel-Y is ________ Hz.
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If the definition of SI unit ‘X’ is required to define SI unit ‘Y’, the dependency is indicated as X → Y. A valid order of dependencies, as per present convention, is __________.
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A parallel plate capacitive displacement sensor has a plate area of 2 cm
. The air gap between the plates is decreased by 0.1 mm from an initial value of 0.5 mm. The percentage change in the capacitance value is _____ %. (Assume permittivity as
)Your answerChoose one option.
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