Questions 61–70 of 88. Imported answers require independent review unless marked reviewed.

Topic practice 88 questionsPage 7 of 9

Question 25

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Complex function

(

is a real number) is
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Question 26

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If

is the Fourier transform of

, then which of the following are true?
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Question 27

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The ordinary differential equation

has a regular singularity at
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Question 28

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For a bipolar junction transistor, which of the following statements are true?
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Question 47

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A paramagnetic salt of mass

is held at temperature

in a magnetic field

. If

is the entropy of the salt and

is its magnetization, then

, where

is the Gibbs free energy. If the magnetic field is changed adiabatically by

and the corresponding infinitesimal changes in entropy and temperature are

and

, then which of the following statements are correct
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Question 48

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A particle of mass

is moving inside a hollow spherical shell of radius

so that the potential is

The ground state energy and wavefunction of the particle are

and

, respectively. Then which of the following options are correct?
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Question 49

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A particle of unit mass moves in a potential

. If the angular momentum of the particle is

, then which of the following statements are true?
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Question 50

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In a diatomic molecule of mass

, electronic, rotational and vibrational energy scales are of magnitude

,

and

, respectively. The spring constant for the vibrational energy is determined by

. If the electron mass is

then
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Question 51

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Electronic specific heat of a solid at temperature

is

, where

is a constant related to the thermal effective mass (

) of the electrons. Then which of the following statements are correct?
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Question 52

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In a Hall effect experiment on an intrinsic semiconductor, which of the following statements are correct?
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