Questions 331–340 of 380. Imported answers require independent review unless marked reviewed.

Topic practice 380 questionsPage 34 of 38

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
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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?
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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
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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?
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Question 31

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If

is the Hamiltonian for a free particle with mass

, the commutator

is
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Question 32

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A long straight wire, having radius

and resistance per unit length

, carries a current

. The magnitude and direction of the Poynting vector on the surface of the wire is
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Question 33

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Three particles are to be distributed in four non-degenerate energy levels. The possible number of ways of distribution: (i) for distinguishable particles, and (ii) for identical Bosons, respectively, is
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Question 34

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The term symbol for the electronic ground state of oxygen atom is
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Question 35

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The energy dispersion for electrons in one dimensional lattice with lattice parameter

is given by

, where

and

are constants. The effective mass of the electron near the bottom of the band is
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Question 36

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Amongst electrical resistivity (

), thermal conductivity (

), specific heat (

), Young’s modulus (Y), and magnetic susceptibility (

), which quantities show a sharp change at the superconducting transition temperature?
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