Solid State Physics-Lattice Vibrations and Thermal Properties of Solid [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 5 - 8 of 10

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Question 5

Appeared in Year: 2008

Question MCQ▾

The primitive translation vectors of the body centered cubic lattice are and . The primitive translation vector and of the reciprocal lattice are –

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 6

Appeared in Year: 2017

Question MCQ▾

The real space primitive lattice vectors are and . The reciprocal space unit vectors and for this lattice are, respectively;

Choices

Choice (4)Response

a.

and

b.

and

c.

and

d.

and

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Question 7

Appeared in Year: 2015

Question Numeric Answer▾

The dispersion relation for phonons in a one dimensional monatomic Bravais lattice with lattice spacing and consisting of ions of masses M is given by,

Where is the frequency of oscillation, is the wavevector and C is the spring constant. For the long wavelength modes , the ratio of the phase velocity to the group velocity is ________.

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Question 8

Appeared in Year: 2019

Question MCQ▾

In order to estimate the specific heat of phonons, the appropriate method to apply would be

Choices

Choice (4)Response

a.

Einstein model for optical phonons and Debye model for acoustic phonons

b.

Einstein model for acoustic phonons and Debye model for optical phonons

c.

Einstein model for both optical and acoustic phonons

d.

Debye model for both optical and acoustic phonons

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