GATE IN exam:gate PYQs & Answers — Page 43

Questions 421–430 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 43 of 65

Assume that the opamp in the circuit shown is ideal. The value of

(in k

) is ____.

Diagram for Instrumentation Engineering question 21

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A sinusoid of 10 kHz is sampled at 15 k samples/s. The resulting signal is passed through an ideal low pass filter (LPF) with cut-off frequency of 25 kHz. The maximum frequency component at the output of the LPF (in kHz) is ____.

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A 200 mV full-scale dual-slope analog to digital converter (DS-ADC) has a reference voltage of 100 mV. The first integration time is set as 100 ms. The DS-ADC is operated in the continuous conversion mode. The conversion time of the DS-ADC for an input voltage of 123.4 mV (in ms, rounded off to one decimal place) is ____.

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The capacitance

of a capacitive type sensor is

pF, where

is the input to the sensor. As shown in the figure, the sensor is excited by a voltage

V. The other terminal of the sensor is tied to the input of a high input impedance amplifier through a shielded cable, with shield connected to ground. The cable capacitance is 100 pF. The peak of the voltage

at the input of the amplifier when

(in volts) is ____.

Diagram for Instrumentation Engineering question 24

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Two 100

resistors, having tolerance 3 % and 4 % are connected in series. The effective tolerance of the series combination (in %, rounded off to one decimal place) is ____.

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Consider the matrix

. One of the eigenvectors of

Your answerChoose one option.

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Consider the differential equation

, with the initial condition

. The solution to this ordinary differential equation is ____

Your answerChoose one option.

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A straight line drawn on an x-y plane intercepts the x-axis at −0.5 and the y-axis at 1. The equation that describes this line is ____

Your answerChoose one option.

y = −0.5 x + 1

y = x − 0.5

y = 0.5x − 1

y = 2x + 1

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The loop transfer function of a negative feedback system is

. The Nyquist plot for the above system ____

Your answerChoose one option.

encircles (−1 + j0) point once in the clockwise direction

encircles (−1 + j0) point once in the counterclockwise direction

does not encircle (−1 + j0) point

encircles (−1 + j0) point twice in the counterclockwise direction

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and

in the figure below are mesh currents. The correct set of mesh equations for these currents, in matrix form, is ____

Diagram for Instrumentation Engineering question 30

Your answerChoose one option.

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GATE IN exam:gate PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30