Questions 551–560 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 56 of 65

Question 21

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An infinitely long straight wire is carrying a steady current I. The ratio of magnetic energy density at distance

to that at

(= 2

) from the wire is ________.

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Question 22

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A light beam of intensity

is falling normally on a surface. The surface absorbs 20% of the intensity and the rest is reflected. The radiation pressure on the surface is given by

, where X is ________ (up to one decimal place). Here c is the speed of light.

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Question 23

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The number of independent components of a general electromagnetic field tensor is ________.

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Question 24

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If X is the dimensionality of a free electron gas, the energy (E) dependence of density of states is given by

, where Y is ________.

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Question 25

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For nucleus

Er, a

state is at 90 keV. Assuming

Er to be a rigid rotor, the energy of its

state is ________ keV (up to one decimal place).

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Question 26

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Given

and

, which one of the following

makes

a complete set for a three dimensional real linear vector space?
Your answerChoose one option.

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Question 27

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An interstellar object has speed

at the point of its shortest distance

from star of much larger mass

. Given

, the trajectory of the object is
Your answerChoose one option.

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Question 28

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A particle moves in one dimension under a potential

with some non-zero total energy. Which one of the following best describes the particle trajectory in the phase space?
Your answerChoose one option.

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Question 29

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Consider an infinitely long solenoid with

turns per unit length, radius

and carrying a current

, where

is a constant and

is the angular frequency. The magnitude of electric field at the surface of the solenoid is
Your answerChoose one option.

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Question 30

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A constant and uniform magnetic field

pervades all space. Which one of the following is the correct choice for the vector potential in Coulomb gauge?
Your answerChoose one option.

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