CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 318 - 320 of 463

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Question number: 318

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2012

MCQ▾

Question

A bag contains many balls, each with a number painted on it. There are exactly Equation balls which have the number Equation (namely one ball with 1, two balls with 2, and so on until N balls with N on them). An experiment consists of choosing a ball at random, nothing the number on it and returning it to the bag. If the experiment is repeated a large number of times, the average value of the number will tend to – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 319

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

A variational calculation is done with the normalized trial wavefunction Equation for the one dimensional potential well Equation , the ground state energy is estimated to be, (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 320

» Atomic & Molecular Physics » Diatomic Molecules » Vibrational

Appeared in Year: 2012

MCQ▾

Question

A system has two normal modes of vibration, with frequencies Equation and Equation . What is the probability that at temperature T, the system has an energy less than Equation ?

[In the following Equation and Z is the partition function of the system]

(June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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