GATE Physics: Questions 262 - 265 of 622

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Question number: 262

» Atomic and Molecular Physics » Spectra of One- and Many-Electron Atoms

Appeared in Year: 2011

MCQ▾

Question

The far infrared rotational absorption spectrum of a diatomic molecule shows equidistance lines with spacing 20cm1 . The position of the first Stokes line in the rotational Raman spectrum of this molecule is –

Choices

Choice (4) Response

a.

20cm1

b.

60cm1

c.

40cm1

d.

120cm1

Passage

The tight binding energy dispersion (Ek) relation for electrons in a one – dimensional array of atoms having lattice constant a and total length L is, E=E0β2γcos(ka) ; where E0,β and γ are constants and k is the wave – vector.

Question number: 263 (1 of 2 Based on Passage) Show Passage

» Solid State Physics » Band Theory of Solid

Appeared in Year: 2011

MCQ▾

Question

The density of states of electrons (including spin degeneracy) in the band is given by –

Choices

Choice (4) Response

a.

L2πγacos(ka)

b.

Lπγacos(ka)

c.

Lπγasin(ka)

d.

L2πγasin(ka)

Question number: 264 (2 of 2 Based on Passage) Show Passage

» Solid State Physics » Mobility and Effective Mass

Appeared in Year: 2011

MCQ▾

Question

The effective mass of electrons in the band is given by,

Choices

Choice (4) Response

a.

2γa2cos(ka)

b.

2γa2sin(ka)

c.

22γa2cos(ka)

d.

22γa2sin(ka)

Question number: 265

» Solid State Physics » Diffraction Methods for Structure Determination

Appeared in Year: 2011

MCQ▾

Question

A metal with body centered cubic (bcc) structure shows the first (i. e. , smallest angle) diffraction peak at a Bragg angle of θ=30° . The wavelength of X – ray used is 2.1 . The volume of the primitive unit cell of the metal is –

Choices

Choice (4) Response

a.

26.2()3

b.

9.3()3

c.

13.1()3

d.

4.6()3

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