CSIR Physical Sciences: Questions 186 - 189 of 401

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Question number: 186

» Mathematical Methods of Physics » Eigenvalues and Eigenvectors

Appeared in Year: 2011

MCQ▾

Question

A Equation matrix M has Equation . Which of the following can be a possible set of eigenvalue of M? -

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 187

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2014

MCQ▾

Question

The integral Equation is to be evaluated up to 3 decimal places using Simpson’s 3 – point rule. If the interval [0, 1] is divided into 4 equal parts, the correct result is – (June)

Choices

Choice (4) Response

a.

0.657

b.

0.638

c.

0.683

d.

0.667

Question number: 188

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

A collection N of non – interacting spins Equation , Equation Equation is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is Equation . What should be the minimum value of Equation for which the mean value Equation ? (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 189

» Atomic & Molecular Physics » Diatomic Molecules » Vibrational

Appeared in Year: 2014

MCQ▾

Question

If the leading anharmonic correction to the energy of the energy of Equation vibrational level of a diatomic molecule is Equation with Equation , the total number of energy levels possible is approximately, (December)

Choices

Choice (4) Response

a.

1000

b.

250

c.

500

d.

750

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