CSIR Physical Sciences: Questions 64 - 67 of 401

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Question number: 64

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

The energy eigen values of a particle in the potential V(x)=12mω2x2ax are – (December)

Choices

Choice (4) Response

a.

En=(n+12)ωa2mω2

b.

En=(n+12)ω+a22mω2

c.

En=(n+12)ω

d.

En=(n+12)ωa22mω2

Question number: 65

» Thermodynamic and Statistical Physics » Phase Space

Appeared in Year: 2014

MCQ▾

Question

The Hamiltonian of a classical particle moving in one dimension is H=p22m+αq4 ; where α is a positive constant and p and q are its momentum and position respectively. Given that it’s total energy EE0 the available volume of phase space depends on E0 as – (December)

Choices

Choice (4) Response

a.

E0

b.

Is independent of E0

c.

E034

d.

E0

Question number: 66

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Given that p^r=i(r+1r); the uncertainty Δpr in the ground state ψ0(r)=1πa03era0 of the hydrogen atom is – (June)

Choices

Choice (4) Response

a.

2a0

b.

2a0

c.

a0

d.

2a0

Question number: 67

» Electromagnetic Theory » Magnetostatics » Ampere's Theorem

Appeared in Year: 2012

MCQ▾

Question

The magnetic field at a distance R from a long straight wire carrying a steady current I is proportional to – (June)

Choices

Choice (4) Response

a.

IR

b.

I2R2

c.

IR

d.

IR2

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