Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 15 - 19 of 80

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Question number: 15

» 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 .

Question number: 16

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

If and are the components of the position and the momentum operators of a particle respectively, the commutator is –

Choices

Choice (4) Response

a.

b.

c.

d.

Passage

The wave function of a particle moving in free space is given by,

Question number: 17 (1 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Schrodinger Equation

Appeared in Year: 2012

MCQ▾

Question

The energy of the particle is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 18 (2 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2012

MCQ▾

Question

The probability current density for the real part of the wavefunction is –

Choices

Choice (4) Response

a.

b.

0

c.

1

d.

Question number: 19

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2012

MCQ▾

Question

A particle of mass is confined in a two dimensional square well potential of dimension . This potential is given by,

The energy of the first excited state for this particle is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

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