Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 22 - 25 of 80

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Question 22

Appeared in Year: 2012

Question

MCQ▾

Consider the wavefunction for a ferromagnetic system consisting of two spin – half particles. The spatial part of the wavefunction is given by –

Where, and are single particle states.

The spin part of of the wavefunction with spin states and should be –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 23

Appeared in Year: 2012

Question

MCQ▾

A particle is constrained to move in a truncated harmonic potential well as shown in the figure. Which one of the following statements is correct?

Truncated Harmonic Potential Well

Choices

Choice (4)Response

a.

The parity of the ground state is even

b.

The parity of the first excited state is even

c.

The ground state energy is

d.

The first excited state energy is

Question 24

Appeared in Year: 2011

Question

MCQ▾

An electron with energy is incident from left on a potential barrier, given by, as shown in the figure.

Graph of Potential Barrier

For , the space part of the wavefunction for is of the form –

( is a real positive quantity)

Choices

Choice (4)Response

a.

b.

c.

d.

Question 25

Quantum Mechanics

Appeared in Year: 2011

Question

MCQ▾

If and are respectively the components of angular momentum operator , the commutator is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

0

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