CSIR Physical Sciences: Questions 281 - 283 of 389

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Question number: 281

» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta

Appeared in Year: 2013

MCQ▾

Question

The expectation value of the x – component of the orbital angular momentum Lx in the state, ψ=15[3ψ2, 1,1+5ψ2, 1,011ψ2, 1,+1]

(Where ψnlm are the eigenfunction in usual notation), is – (December -2013)

Choices

Choice (4) Response
a.

1025(11+3)

b.

2

c.

0

d.

1025(113)

Question number: 282

» Classical Mechanics » Phase Space Dynamics

Appeared in Year: 2012

MCQ▾

Question

Consider the motion of a classical particle in a one – dimensional double – well potential V(x)=14(x22)2 . If the particle is displaced infinitesimally from the minimum on the positive x – axis (and friction is neglected), then – (June)

Choices

Choice (4) Response
a.

The particle will execute simple harmonic motion in the right well an angular frequency ω=2

b.

The particle will approach the bottom of the right well and settle there

c.

The particle will switch between the right and left wells

d.

The particle will execute simple harmonic motion in the right well an angular frequency ω=2

Question number: 283

» Condensed Matter Physics » Hall Effect and Thermoelectric Power

Appeared in Year: 2012

MCQ▾

Question

A magnetic field sensor based on the Hall effect is to be fabricated by implanting As into a Si film of thickness 1μm . The specifications require a magnetic field sensitivity of 500mVTesla at an excitation current of 1mA . The implantation dose is to be adjusted such that the average carrier density, after activation, is – (December)

Choices

Choice (4) Response
a.

4.1×1020m3

b.

1.25×1022m3

c.

1.25×1026m3

d.

4.1×1021m3

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