CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 187 - 190 of 463

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Question number: 187

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

Appeared in Year: 2014

MCQ▾

Question

The integral 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 , is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is . What should be the minimum value of for which the mean value? (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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 vibrational level of a diatomic molecule is with, the total number of energy levels possible is approximately, (December)

Choices

Choice (4) Response

a.

1000

b.

250

c.

500

d.

750

Question number: 190

» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom

Appeared in Year: 2011

MCQ▾

Question

The energy levels of the non –relativistic electron in a hydrogen atom i. e. , in a Coulomb potential are given by, where, n is principal quantum number, and the corresponding wave functions are given by , where is the orbital angular momentum quantum number and m is the magnetic quantum number. The spin of the electron is not considered. Which of the following is a correct statement? - (June)

Choices

Choice (4) Response

a.

does not depend on and for the Coulomb potential

b.

There are different wave function for each

c.

There is a unique wave function and

d.

There are exactly different wave function , for each

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