Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 80

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Question number: 5

» Quantum Mechanics » Variational Method

Appeared in Year: 2014

MCQ▾

Question

Let denote the eigenfunctions of a Hamiltonian for a spherically symmetric potential V (r). The expectation value of in the state is - (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m in the potential is in an eigenstate of energy. The corresponding unnormalized eigenfunction is – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 7

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2014

MCQ▾

Question

Let and denoted the normalized eigenstate of a particle with energy eigenvalue and respectively, with. At time the particle is prepared in a state . The shortest time T at which will be orthogonal to is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 8

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

If a particle is represented by the normalized wave function,

The uncertainty in its momentum is – (December)

Choices

Choice (4) Response

a.

b.

5h2a

c.

d.

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