GATE IN format:nat PYQs & Answers — Page 2

Questions 11–20 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 2 of 27

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)

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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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If one of the eigenvectors of the matrix

is along the direction of

, where

is any non-zero real number, then the value of

is _____ (in integer).

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Consider the function

, where

is a complex variable. The sum of the residues at singular points of

is _____ (in integer).

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A dual-slope ADC has a fixed integration time of 100 ms. The reference voltage of the ADC is −5 V. The time taken by the ADC to measure an input voltage of 1.25 V is __________ ms (rounded to the nearest integer).

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In the circuit shown, assume that the BJT in the circuit has very high

and

V, and the Zener diode has

V. The current

through the LED is __________ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 35

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The probability of a student missing a class is 0.1. In a total number of 10 classes, the probability that the student will not miss more than one class is ___ (rounded off to two decimal places).

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A metallic strain-gage (SG) with resistance

is connected as shown in the figure, where

represent the lead wire resistances. The SG has a gauge factor of 2 and nominal resistance

. When the SG is subjected to a tensile strain of

, the resulting change in

. The

value is measured as

. The

and

are the equivalent resistances measured between the terminals 1 and 2, and terminals 2 and 3, respectively.

, and

, the measured value of tensile strain is ___

(rounded off to two decimal places).

Diagram for Instrumentation Engineering question 53

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GATE IN format:nat PYQs

Question 62

Question 63

Question 64

Question 65

Question 32

Question 33

Question 34

Question 35

Question 52

Question 53