Solid State Physics-Elements of Crystallography (GATE Physics): Questions 1 - 5 of 5

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Question number: 1

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2015

Short Answer Question▾

Write in Short

The lattice parameters a,b,c of an orthorhombic crystal are related by a=2b=3c . In units of a , the inter-planar separation between the (110) planes is ________ (up to three decimal places)

Passage

The dispersion relation for a one – dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by, ω=A sinka2 , where A is a constant of appropriate unit.

Question number: 2 (1 of 2 Based on Passage) Show Passage

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2012

MCQ▾

Question

The force constant between the nearest neighbors of the lattice is –

(M is the mass of the atom)

Choices

Choice (4) Response

a.

2MA2

b.

MA22

c.

MA24

d.

MA2

Question number: 3 (2 of 2 Based on Passage) Show Passage

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2012

MCQ▾

Question

The group velocity at the boundary of the first Brillouin zone is –

Choices

Choice (4) Response

a.

12Aa22

b.

1

c.

Aa22

d.

0

Question number: 4

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2013

MCQ▾

Question

A lattice has the following primitive vectors (in) : a=2(j^+k^),b=2(k^+i^),c=2(i^+j^) . The reciprocal lattice corresponding to the above lattice is –

Choices

Choice (4) Response

a.

BCC lattice with cube edge of (2π)1

b.

FCC lattice with cube edge of (π2)1

c.

BCC lattice with cube edge of (π2)1

d.

FCC lattice with cube edge of (2π)1

Question number: 5

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2008

MCQ▾

Question

The lattice specific heat C of a crystalline solid can be obtained using the Dulong Petit model, Einstein model and Debye model. At low temperature ωkBT ; Which one of the following statement is true ( a and A are constant) –

Choices

Choice (4) Response

a.

Dulong Petit: Cexp(a.T) ; Einstein: C=constant ; Debye: C(TA)3

b.

Dulong Petit: C=constant ; Einstein CeaTT2 ; Debye: C(TA)3

c.

Dulong Petit: C=(TA)3 ; Einstein CeaTT2 ; Debye: Cconstants.

d.

Dulong Petit: C=constant ; Einstein C(TA)3 ; Debye: Cexp(aT)

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