Quantum Mechanics-Eigenvalue Problems (CSIR Physical Sciences): Questions 1 - 4 of 9

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Question number: 1

» 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,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 4

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2012

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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