GATE PH topic:physics PYQs & Answers — Page 48

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Questions 471–480 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 48 of 65

An electric field

is applied to a Hydrogen atom in

excited state. Ignoring spin, the

state is fourfold degenerate, which in the

basis are given by

and

. If

is the interaction Hamiltonian corresponding to the applied electric field, which of the following matrix elements is nonzero?

Your answerChoose one option.

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A large number

of ideal bosons, each of mass

, are trapped in a three-dimensional potential

. The bosonic system is kept at temperature

which is much lower than the Bose-Einstein condensation temperature

. The chemical potential (

) satisfies

Your answerChoose one option.

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During a rotation, vectors along the axis of rotation remain unchanged. For the rotation matrix

the unit vector along the axis of rotation is

Your answerChoose one option.

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For a spin

particle, let

and

denote its spin up and spin down states, respectively. If

and

are composite states of two such particles, which of the following statements is true for their total spin

Your answerChoose one option.

for

, and

is not an eigenstate of the operator

, and

for

, and

for

, and

for

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Consider a transformation from one set of generalized coordinate and momentum

to another set

denoted by,

where

and

are constants. The transformation is canonical if

Your answerChoose one option.

and

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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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GATE PH topic:physics PYQs

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