Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 20 - 22 of 80

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Question number: 20

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2012

MCQ▾

Question

Consider a system in the unperturbed state described by the Hamiltonian, . The system is subjected to a perturbation of the form where . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 21

» Quantum Mechanics » Elementary Scattering Theory

Appeared in Year: 2012

MCQ▾

Question

The ground state wave function for the hydrogen atom is given by , where is the Bohr radius. The plot of the radial probability density, for the hydrogen atom in the ground state is –

Choices

Choice (4) Response

a.

The plot of the radial probability density Choice: A

The Plot of the Radial Probability Density Choice: A

In figure the plot of radial probability density is shown.

b.

The plot of the radial probability density Choice: B

The Plot of the Radial Probability Density Choice: B

In figure the plot of radial probability density is shown.

c.

The plot of the radial probability density Choice: C

The Plot of the Radial Probability Density Choice: C

In figure the plot of radial probability density is shown.

d.

The plot of the radial probability density Choice: D

The Plot of the Radial Probability Density Choice: D

In figure the plot of radial probability density is shown.

Question number: 22

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2012

MCQ▾

Question

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.

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