Quantum Mechanics (CSIR Physical Sciences): Questions 47 - 50 of 71

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Question number: 47

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

A perturbation Equation is added to the Hydrogen atom potential. The shift in the energy level of 2P state, when the effects of spin are neglected up to second order in Equation , is – (Dec. 2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

0

Question number: 48

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

If Equation is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue Equation , the potential Equation (in units where Equation ) is – (Dec – 2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 49

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

A particle is prepared in a simultaneous eigenstate of Equation and Equation . If Equation and Equation are respectively the eigenvalues of Equation and Equation , then the expectation value Equation of the particle in this state satisfies – (December -2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 50

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

Consider a two – dimensional infinite square well,

Equation

Its normalized eigenfunction are; Equation

Where, Equation If a perturbation Equation is applied, then the correction to the energy of the first excited state to order Equation is – (June – 2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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