# Solid State Physics-Mobility and Effective Mass (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 4

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## Question number: 1

» Solid State Physics » Mobility and Effective Mass

Appeared in Year: 2016

### Write in Short

The energy vs wave vector relationship near the bottom of a band for a solid can be approximation as , where the lattice constant . The values of and are and , respectively. At the bottom of the conduction band, the ratio of the effective mass of the electron to the mass of fee electron is . (Give your answer up to two decimal placed)

(Take mass of free electron )

## 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 number: 2 (1 of 1 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.

b.

c.

d.

## Passage

The atomic density of a solid is . Its electrical resistivity is . Assume that electrical conduction is described by the Drude model (classical theory), and that each atom contributes one conduction electron.

## Question number: 3 (1 of 2 Based on Passage) Show Passage

» Solid State Physics » Mobility and Effective Mass

Appeared in Year: 2007

MCQ▾

### Question

The drift mobility (in ) of the conduction electrons is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 4 (2 of 2 Based on Passage) Show Passage

» Solid State Physics » Mobility and Effective Mass

Appeared in Year: 2007

MCQ▾

### Question

The relaxation time (mean free time), in seconds, of the conduction electrons is –

### Choices

Choice (4) Response

a.

b.

c.

d.

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