GATE IN kind:question PYQs & Answers — Page 24

Questions 231–240 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 24 of 65

The impulse response of an LTI system is

, where

is the continuous-time unit impulse signal. If the input signal

, the output is _____.

Your answerChoose one option.

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The Laplace transform of the continuous-time signal

is _____, where

denotes the continuous-time unit step signal.

Your answerChoose one option.

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In a p-i-n photodiode, a pulse of light containing

incident photons at wavelength

m gives rise to an average

electrons collected at the terminals of the device. The quantum efficiency of the photodiode at this wavelength is _____%.

Your answerChoose one option.

54.2

62.5

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Let

, where

denotes a complex number and

denotes

. The inverse function

maps the real axis to the________.

Your answerChoose one option.

unit circle with centre at the origin

unit circle with centre not at the origin

imaginary axis

real axis

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The simplified form of the Boolean function

with the minimum number of terms and smallest number of literals in each term is_________.

Your answerChoose one option.

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For the given digital circuit, A = B = 1. Assume that AND, OR, and NOT gates have propagation delays of 10 ns, 10 ns, and 5 ns respectively. All lines have zero propagation delay. Given that C = 1 when the circuit is turned on, the frequency of steady-state oscillation of the output Y is _____.

Diagram for Instrumentation Engineering question 41

Your answerChoose one option.

20 MHz

15 MHz

40 MHz

50 MHz

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In the circuit shown, the initial binary content of shift register A is 1101 and that of shift register B is 1010. The shift registers are positive-edge triggered, and the gates have no delay.

When the shift control is high, what will be the binary content of the shift registers A and B after four clock pulses?

Diagram for Instrumentation Engineering question 42

Your answerChoose one option.

A = 1101, B = 1101

A = 1110, B = 1001

A = 0101, B = 1101

A = 1010, B = 1111

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The magnitude and phase plots shown in the figure match with the transfer-function ______.

Diagram for Instrumentation Engineering question 43

Your answerChoose one option.

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A continuous real-valued signal

has finite positive energy and

. From the list given below, select ALL the signals whose continuous-time Fourier transform is purely imaginary.

Your answerSelect all correct options. You can choose more than one.

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A silica-glass fiber has a core refractive index of 1.47 and a cladding refractive index of 1.44. If the cladding is completely stripped out and the core is dipped in water having a refractive index of 1.33, the numerical aperture of the modified fiber is ______ (rounded off to three decimal places).

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