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. |
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 |
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 ________.
EditQuestion 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 |