Quantum Mechanics-Angular Momentum and Spin (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 18

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Question number: 1

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

A hydrogen atom is in the state

Where in denote the principal, orbital and magnetic quantum numbers, respectively. If is the angular momentum operator, the average value of is________.

Question number: 2

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

MCQ▾

Question

Let L and p be the angular and linear momentum operates, respectively for a particle. The commutator gives –

Choices

Choice (4) Response

a.

b.

0

c.

d.

Question number: 3

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

Short Answer Question▾

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Let the Hamiltonian for two spin particles of equal masses , momenta and and position and be

where and denote the corresponding Pauli matrices, and . If the ground state has net spin zero, then the energy (in ) is ________.

Question number: 4

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

and are two orthogonal states of a spin system. It is given that

Where and represent the spin – up and spin – down states, respectively. When the system is in the state , its probability to be in the spin – up state is .

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