Quantum Mechanics (CSIR Physical Sciences): Questions 8 - 10 of 71

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Question number: 8

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

If a particle is represented by the normalized wave function,

ψ(x)={

The uncertainty Δp in its momentum is – (December)

Choices

Choice (4) Response

a.

10ha

b.

5h2a

c.

2h5a

d.

5h2a

Question number: 9

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

Consider a system of two non – interacting identical fermions, each of mass m in an infinite square well potential of width a. (Take the potential inside the well to be zero and ignore spin. ) The composite wavefunction for the system with total energy E=5π222ma2 is – (June)

Choices

Choice (4) Response

a.

2a[sin(πx1a)cos(πx2a)sin(πx2a)cos(πx1a)]

b.

2a[sin(πx1a)sin(2πx2a)+sin(2πx1a)sin(πx2a)]

c.

2a[sin(πx1a)sin(3πx22a)sin(3πx12a)sin(πx2a)]

d.

2a[sin(πx1a)sin(2πx2a)sin(2πx1a)sin(πx2a)]

Question number: 10

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

The energy eigen values of a particle in the potential V(x)=12mω2x2ax are – (December)

Choices

Choice (4) Response

a.

En=(n+12)ωa2mω2

b.

En=(n+12)ω+a22mω2

c.

En=(n+12)ω

d.

En=(n+12)ωa22mω2

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