GATE PH format:mcq PYQs & Answers — Page 29

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Questions 281–290 of 380. Imported answers require independent review unless marked reviewed.

Topic practice 380 questionsPage 29 of 38

A massive particle X in free space decays spontaneously into two photons. Which of the following statements is true for X?

Your answerChoose one option.

X is charged

Spin of X must be greater than or equal to 2

X is a boson

X must be a baryon

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The electric field of an electromagnetic wave is given by

. The wave is

Your answerChoose one option.

linearly polarized at an angle

from the

-axis

linearly polarized at an angle

from the

-axis

elliptically polarized in clockwise direction when seen travelling towards the observer

elliptically polarized in counter-clockwise direction when seen travelling towards the observer

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The nuclear spin and parity of

in its ground state is

Your answerChoose one option.

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An infinitely long thin cylindrical shell has its axis coinciding with the

-axis. It carries a surface charge density

, where

is the polar angle and

is a constant. The magnitude of the electric field inside the cylinder is

Your answerChoose one option.

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Consider the following Boolean expression:

It can be represented by a single three-input logic gate. Identify the gate.

Your answerChoose one option.

AND

XOR

NAND

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The value of the integral

, where

and

, is

Your answerChoose one option.

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The wave function

of a particle is as shown below

Here

is a constant, and

. The position uncertainty

of the particle is

Your answerChoose one option.

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A solid cylinder of radius

has total charge

distributed uniformly over its volume. It is rotating about its axis with angular speed

. The magnitude of the total magnetic moment of the cylinder is

Your answerChoose one option.

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Consider the motion of a particle along the

-axis in a potential

. Its ground state energy

is estimated using the uncertainty principle. Then

is proportional to

Your answerChoose one option.

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A 3-bit analog-to-digital converter is designed to digitize analog signals ranging from 0 V to 10 V. For this converter, the binary output corresponding to an input of 6 V is

Your answerChoose one option.

011

101

100

010

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GATE PH format:mcq PYQs

Question 13

Question 14

Question 15

Question 16

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31