Condensed Matter Physics (CSIR Physical Sciences): Questions 1 - 3 of 16

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Question number: 1

» Condensed Matter Physics » Band Theory of Solids » Metals

Appeared in Year: 2012

MCQ▾

Question

The experimentally measured transmission spectra of metal, insulator and semiconductor thin films are shows in the figure. It can be inferred that I, II and III correspond respectively, to – (June)

 Plot of Transmission spectra v/s Wavelength

Plot of Transmission Spectra v/s Wavelength

In figure graph of experimentally measured transmission spectra of metal, insulator and semiconductor thin films are shown.

Choices

Choice (4) Response

a.

Semiconductor, metal and insulator

b.

Insulator, semiconductor and metal

c.

Metal, semiconductor and insulator

d.

Insulator, metal and semiconductor

Question number: 2

» Condensed Matter Physics » Free Electron Theory

Appeared in Year: 2014

MCQ▾

Question

The dispersion relation for electron in an f. c. c. crystal is given, in the tight binding approximation, by ε(k)=4ε0[coskxa2coskya2+coskya2coskza2+coskza2coskxa2] ; where a is the lattice constant and εo is a constant with the dimension of energy. The x – component of the velocity of the electrons at (πa,0, 0) is – (June – 2014)

Choices

Choice (4) Response

a.

4ε0a

b.

2ε0a

c.

4ε0a

d.

2ε0a

Question number: 3

» Condensed Matter Physics » Free Electron Theory

Appeared in Year: 2014

MCQ▾

Question

Consider an electron in a b. c. c. lattice with lattice constant a . A single particle wavefunction that satisfies the Bloch theorem will have the form f(r)exp(ikr) , with f(r) being – (June – 2014)

Choices

Choice (4) Response

a.

1+cos[2πa(x+y)]+cos[2πa(y+z)]+cos[2πa(z+x)]

b.

1+cos[πa(x+yz)]+cos[πa(x+y+z)]+cos[πa(xy+z)]

c.

1+cos[2πa(x+yz)]+cos[2πa(x+y+z)]+cos[2πa(xy+z)]

d.

1+cos[πa(x+y)]+cos[πa(y+z)]+cos[πa(z+x)]

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