# Quantum Mechanics-Eigenvalue Problems (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 5 of 11

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## Question number: 1

» Quantum Mechanics » Eigenvalue Problems

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Appeared in Year: 2013

MCQ▾

### Question

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

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 2

» Quantum Mechanics » Eigenvalue Problems

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Appeared in Year: 2014

MCQ▾

### Question

A particle of mass m in the potential is in an eigenstate of energy . The corresponding unnormalized eigenfunction is – (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 3

» Quantum Mechanics » Eigenvalue Problems

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Appeared in Year: 2014

MCQ▾

### Question

A particle of mass m in three dimensions is in the potential . Its ground state energy is - (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 4

» Quantum Mechanics » Eigenvalue Problems

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Appeared in Year: 2012

MCQ▾

### Question

A particle of mass m is in a cubic box of size . The potential inside the box is zero and infinite outside. If the particle is in an eigenstate of energy its wavelength is – (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 5

» Quantum Mechanics » Eigenvalue Problems

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Appeared in Year: 2012

MCQ▾

### Question

Let denote the eigenfunctions of a Hamiltonian for a spherically symmetric potential . The wave function is an eigenfunction only of – (June)

### Choices

Choice (4)Response

a.

b.

c.

d.

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