Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 38 - 42 of 80

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Question 38

Appeared in Year: 2010

Question

MCQ▾

Which of the following is an allowed wavefunction for a particle in a bound state? is a constant and ,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 39

Quantum Mechanics

Appeared in Year: 2010

Question

MCQ▾

A particle of mass is confined in an infinite potential well , it is subjected to a perturbing potential within the well. Let and be the corrections to the ground state energy in the first and second order in ,

Potential of Particle in Infinite Potential Well

Choices

Choice (4)Response

a.

depends on the sign of

b.

c.

d.

Question 40

Quantum Mechanics

Appeared in Year: 2009

Question

MCQ▾

represent the Pauli spin matrices. Which one of the following is NOT true?

Choices

Choice (4)Response

a.

b.

c.

d.

The eigenvalues of are

Question 41

Appeared in Year: 2009

Question

MCQ▾

Which one of the functions given below represents the bound state eigen function of the operator in the region, , with the eigenvalue ?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 42

Quantum Mechanics

Appeared in Year: 2009

Question

MCQ▾

The de Broglie wavelength of particles of mass with average momentum at a temperature in three dimensions is given by –

Choices

Choice (4)Response

a.

b.

c.

d.

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