Quantum Mechanics (CSIR Physical Sciences): Questions 1 - 4 of 71

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Question number: 1

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2013

MCQ▾

Question

Consider the normalized state ψ of a particle in a one – dimensional harmonic oscillator:

ψ=b1 0+b2 1

Where 0 and 1 denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement x in the state ψ will be a minimum when – (June)

Choices

Choice (4) Response

a.

b2=12b1

b.

b2=b1

c.

b2=0,(b1=1)

d.

b2=12b1

Question number: 2

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

The un – normalized wave function of a particle in a spherically symmetric potential is given by,

ψ(r)=zf(r)

Where, f(r) is a function of the radial variable r. The eigenvalue of the operator L2 (namely the square of the orbital angular momentum) is – (June)

Choices

Choice (4) Response

a.

2

b.

4

c.

2

d.

22

Question number: 3

» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra

Appeared in Year: 2013

MCQ▾

Question

A particle moves in a potential V=x2+y2+z22 . Which component (s) of the angular momentum is/are constant (s) of motion? (December)

Choices

Choice (4) Response

a.

OnlyLxandLy

b.

OnlyLz

c.

Lx,LyandLz

d.

Question does not provide sufficient data or is vague

Question number: 4

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

In a basis in which the z – component Sz of the spin is diagonal, an electron is in a spin state,

ψ=(1+i623)

The probability that a measurement of Sz will yield the value 2 and 2 are, respectively,

Choices

Choice (4) Response

a.

13and23

b.

14and34

c.

23and13

d.

12and12

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