GATE PH year:2019 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 3 of 7

In order to estimate the specific heat of phonons, the appropriate method to apply would be

Your answerChoose one option.

Einstein model for acoustic phonons and Debye model for optical phonons

Einstein model for optical phonons and Debye model for acoustic phonons

Einstein model for both optical and acoustic phonons

Debye model for both optical and acoustic phonons

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The pole of the function

Your answerChoose one option.

a removable singularity

an essential singularity

a simple pole

a second order pole

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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 a three-dimensional crystal of

inert gas atoms. The total energy is given by

, where

, and

is the nearest neighbor distance between two atoms. The two constants,

and

, have the dimensions of energy and length, respectively. The equilibrium separation between two nearest neighbor atoms in units of

(rounded off to two decimal places) is

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The energy-vector (

) dispersion relation for a particle in two dimensions is

, where

is a constant. If its density of states

is proportional to

then the value of

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A circular loop made of a thin wire has radius 2 cm and resistance 2

. It is placed perpendicular to a uniform magnetic field of magnitude

Tesla. At time

the field starts decaying as

, where

s. The total charge that passes through a cross section of the wire during the decay is

. The value of

C (rounded off to two decimal places) is

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The electric field of an electromagnetic wave in vacuum is given by

The wave is reflected from the

surface. If the pressure exerted on the surface is

, the value of

(rounded off to one decimal place) is

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GATE PH year:2019 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20