Questions 411–420 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 42 of 65

Question 11

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Choose the correct statement related to the Fermi energy (

) and the chemical potential (

) of a metal.
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Question 12

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Consider a diatomic molecule formed by identical atoms. If

and

represent the energy of the vibrational nuclear motion and electronic motion respectively, then in terms of the electronic mass

and nuclear mass

,

is proportional to
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Question 13

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Which one of the following relations determines the manner in which the electric field lines are refracted across the interface between two dielectric media having dielectric constants

and

(see figure)?
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Question 14

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If

and

are the electric and magnetic fields respectively, then

is
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Question 15

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A small disc is suspended by a fiber such that it is free to rotate about the fiber axis (see figure). For small angular deflections, the Hamiltonian for the disc is given by

where

is the moment of inertia and

is the restoring torque per unit deflection. The disc is subjected to angular deflections (

) due to thermal collisions from the surrounding gas at temperature

and

is the momentum conjugate to

. The average and the root-mean-square angular deflection,

and

, respectively are
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Question 16

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As shown in the figure, an ideal gas is confined to chamber A of an insulated container, with vacuum in chamber B. When the plug in the wall separating the chambers A and B is removed, the gas fills both the chambers. Which one of the following statements is true?
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Question 17

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Particle

with angular momentum

decays into two particles

and

with angular momenta

and

, respectively. If

, the value of

is _____.

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Question 18

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Far from the Earth, the Earth’s magnetic field can be approximated as due to a bar magnet of magnetic pole strength

. Assume this magnetic field is generated by a current carrying loop encircling the magnetic equator. The current required to do so is about

, where

is an integer. The value of

is _____. (Earth’s circumference:

)

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Question 19

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The number of distinct ways the primitive unit cell can be constructed for the two dimensional lattice as shown in the figure is _____.
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Question 20

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A hydrogen atom is subjected to a strong magnetic field. In the absence of spin-orbit coupling, the number of doubly degenerate states created out of the

-level is _____.

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