GATE Physics: Questions 135 - 138 of 323

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Question number: 135

» Atomic and Molecular Physics » LS and JJ Coupling

Appeared in Year: 2012

MCQ▾

Question

The terms {j1,j2}j arising from 2s13d1 electronic configuration in jj coupling scheme are –

Choices

Choice (4) Response

a.

{12,12}1, 0and{12,52}3, 2

b.

{12,12}1, 0and{12,32}2, 1

c.

{32,12}2, 1and{12,52}3, 2

d.

{12,32}2, 1and{12,52}3, 2

Question number: 136

» Thermodynamics and Statistical Physics » Classical and Aquantum Statistics

Appeared in Year: 2012

MCQ▾

Question

At a certain temperature T, the average speed of nitrogen molecules in air is found to be 400ms . The most probable and the root mean square speeds of the molecules are, respectively –

Choices

Choice (4) Response

a.

422ms,600ms

b.

820ms,917ms

c.

355ms,434ms

d.

152ms,301ms

Question number: 137

» Electromagnetic Theory » Energy and Momentum of Electromagnetic Waves

Appeared in Year: 2012

MCQ▾

Question

The space – time dependence of the electric field of a linearly polarized light in free space is given by x^E0cos(ωtkz) where E0,ω and k are the amplitude, the angular frequency and the wavevector, respectively. The time average energy density associated with the electric field is –

Choices

Choice (4) Response

a.

2ε0E02

b.

12ε0E02

c.

ε0E02

d.

14ε0E02

Question number: 138

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2012

MCQ▾

Question

A particle of mass m is confined in a two dimensional square well potential of dimension a . This potential V(x,y) is given by,

V(x,y)={0,fora<x<aanda<y<a,elsewhere

The energy of the first excited state for this particle is given by,

Choices

Choice (4) Response

a.

5π222ma

b.

4π22ma2

c.

2π22ma2

d.

π22ma2

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