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

Short Answer Question▾

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

(Take Equation mass of free electron Equation )

Passage

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

Equation

b.

Equation

c.

Equation

d.

Equation

Passage

The atomic density of a solid is Equation . Its electrical resistivity is Equation . 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 relaxation time (mean free time), in seconds, of the conduction electrons is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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