GATE (Graduate Aptitude Test in Engineering) Physics: Questions 262 - 268 of 659

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Passage

The tight binding energy dispersion relation for electrons in a one – dimensional array of atoms having lattice constant and total length is, ; where and are constants and is the wave – vector.

Question 262 (1 of 2 Based on Passage)

Appeared in Year: 2011

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question 263 (2 of 2 Based on Passage)

Appeared in Year: 2011

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question 264

Appeared in Year: 2011

Question

MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question 265

Appeared in Year: 2011

Question

MCQ▾

In the following circuit, and are identical transistors having . The current passing through the transistor is –

A Circuit Diagram Consists of Two Transistors

Choices

Choice (4)Response

a.

b.

c.

d.

Question 266

Appeared in Year: 2011

Question

MCQ▾

The following Boolean expression

can be simplified to –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 267

Appeared in Year: 2011

Question

MCQ▾

The degeneracy of an excited state of nitrogen atom having electronic configuration is –

Choices

Choice (4)Response

a.

15

b.

6

c.

150

d.

10

Passage

Consider a function of a complex variable .

Question 268 (1 of 2 Based on Passage)

Residue Theorem and Applications

Appeared in Year: 2011

Question

MCQ▾

Consider a counterclockwise circular contour about the origin. The integral over this contour is –

Choices

Choice (4)Response

a.

b.

c.

d.

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