GATE ECE format:nat PYQs & Answers — Page 14

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Questions 131–140 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 14 of 24

The value of the contour integral

evaluated over the unit circle

is ______.

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The number of distinct eigenvalues of the matrix

is equal to ______.

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and

are random variables such that

and

, then

_____.

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The value of the integral

, is equal to _____.

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Let

be an exponential random variable with mean 1. That is, the cumulative distribution function of

is given by

. Then

, rounded off to two decimal places, is equal to _____.

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Consider the signal

, where

is in seconds. Its fundamental time period, in seconds, is _____.

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The baseband signal

shown in the figure is phase-modulated to generate the PM signal

. The time

on the x-axis in the figure is in milliseconds. If the carrier frequency is

kHz and

, then the ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _____ (rounded off to 2 decimal places).

Diagram for Electronics and Communication Engineering question 22

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Radiation resistance of a small dipole current element of length

at a frequency of 3 GHz is 3 ohms. If the length is changed by 1%, then the percentage change in the radiation resistance, rounded off to two decimal places, is _____ %.

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In the circuit shown,

is a square wave of period

with maximum and minimum values of 8 V and -10 V, respectively. Assume that the diode is ideal and

. The average value of

is ____ volts (rounded off to 1 decimal place).

Diagram for Electronics and Communication Engineering question 24

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In the circuit shown, the clock frequency, i.e., the frequency of the Clk signal, is 12 kHz. The frequency of the signal at

is ____ kHz.

Diagram for Electronics and Communication Engineering question 25

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GATE ECE format:nat PYQs

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25