Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 4 - 7 of 80

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Question number: 4

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

In a basis in which the z – component Equation of the spin is diagonal, an electron is in a spin state,

Equation

The probability that a measurement of Equation will yield the value Equation and Equation are, respectively,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 5

» Quantum Mechanics » Variational Method

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 6

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 7

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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