Quantum Mechanics (CSIR Physical Sciences): Questions 31 - 33 of 70

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Question number: 31

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

Let ψ=C0 0+C1 1 (where C0 and C1 are constants with C02+C12=1 ) be a linear combination of the wavefunction of the ground and first excited states of the one – dimensional harmonic oscillator. For what value of C0 is the expectation value x a maximum? (December)

Choices

Choice (4) Response
a.

x=mω,c0=12

b.

x=2mω,c0=12

c.

x=mω,c0=12

d.

x=2mω,c0=12

Question number: 32

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

A collection N of non – interacting spins Si , i=1, 2,,N (Si=±1) is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is H=μBiSi . What should be the minimum value of μBkBT for which the mean value Si13 ? (December)

Choices

Choice (4) Response
a.

2ln2

b.

Nln2

c.

12Nln2

d.

12ln2

Question number: 33

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

If the perturbation H=ax , where a is a constant; is added to the infinite square well potential

V(x)={

The first order correction to ground state energy is: - (June)

Choices

Choice (4) Response
a.

aπ

b.

aπ4

c.

aπ2

d.

aπ2

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