Questions 11–20 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 2 of 65

Question 11

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In free space, an electromagnetic wave is traveling whose wavevector is

. The electric field component of this electromagnetic wave is given by

. The speed of light in free space is

. The corresponding magnetic field

is
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Question 12

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An infinitely large non-conducting thin sheet in the

plane (

) carries a uniform surface charge density

. The electric field in the region

is

. Then, the electric field

in the region

will be
(

)
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Question 13

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Consider an operator

which is not Hermitian. Find the possible values of

and

such that the operator

is Hermitian.
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Question 14

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For a scalar field

and a vector field

,

is equivalent to the expression
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Question 15

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Which of the following options is correct for transformation of electric field

and magnetic field

under time reversal, i.e.,

?
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Question 16

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On a horizontal plane, a projectile of mass

is launched from the ground with speed

at an angle

with the horizontal. In addition to the gravitational force (

), it also experiences a drag force

, where

is its velocity and

is a constant. It hits the ground at a distance

from the point of launch with its velocity making an angle

with the horizontal, as shown schematically in the figure. Then which of the following options is correct?
Diagram for Physics question 16

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Question 17

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Consider the Otto cycle for an ideal gas engine consisting of two quasistatic adiabatic and two quasistatic isochoric processes. The correct temperature-entropy (T-S) phase diagram for the cycle is
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Question 18

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The formula for energy

of a photon gas at temperature

in a two-dimensional box at equilibrium with

denoting the density of states of photons is given below where symbols

,

and

have their standard meaning. The specific heat (

) of this photon gas obeys

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Question 19

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For the electric field of an electromagnetic wave given below, which of the following statements is correct?

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Question 20

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A gas of non-interacting

atoms (of mass

) is in a three-dimensional trap whose energy levels can be approximated by those of a harmonic oscillator potential

. The chemical potential of the gas at

K is
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