Instrumentation Engineering
GATE IN branch:in PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 650. Imported answers require independent review unless marked reviewed.
Question 61
Open questionINNAT2 marksNeeds review
In the phase-locked-loop circuit shown below, the output of the VCO is a digital square wave.

If the input is a square wave at 10 kHz, the steady state frequency of the output is ______ kHz. (rounded off to the nearest integer)
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A digital counter increments its count every 0.1 μs. The counter is used in an instrument to measure frequency. The counter is operated for one period of the input signal to the instrument to measure its frequency. The input signal is approximately at 100 kHz. The maximum error in the measured frequency is _____ kHz. (rounded off to the nearest integer)
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A current carrying semiconductor of thickness 0.7 mm is placed in a transverse magnetic field. The measured Hall voltage is 0.9 mV and the current is 6 mA. If the Hall coefficient is
m³/C, the value of the incident magnetic field is ______ T. (rounded off to two decimal places)Log in to check the answer
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For a fiber Bragg grating-based sensor, the shift in the Bragg wavelength gives information about the value of the measured. For a Bragg wavelength of 1550 nm and effective index of 1.44, the grating period is ______ nm.
(rounded off to two decimal places)
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A photodiode has a responsivity 0.8 A/W. If the input optical power to the photodiode is 2 mW, the power delivered to a 50 Ω load is ______ μW.
(rounded off to the nearest integer)
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Despite his initial hesitation, Rehman’s ________ to contribute to the success of the project never wavered.
Select the most appropriate option to complete the above sentence.
Your answerChoose one option.
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Bird : Nest :: Bee : ______
Select the correct option to complete the analogy.
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
If
for all real values of
, which one of the following statements is true?Your answerChoose one option.
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The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Note: The figures shown are representative.

Your answerChoose one option.
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Let
and
denote two arbitrary prime numbers. Which one of the following statements is correct for all values of
and
?Your answerChoose one option.
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