CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 39 - 42 of 463

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Question number: 39

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m and coordinate has the Lagrangian; where is a constant. The Hamiltonian for the system is given by, (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 40

» Mathematical Methods of Physics » Eigenvalues and Eigenvectors

Appeared in Year: 2014

MCQ▾

Question

The column vector is a simultaneous eigenvector of and if,

(December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 41

» Thermodynamic and Statistical Physics » Laws of Thermodynamics

Appeared in Year: 2014

MCQ▾

Question

The pressure P of a fluid is related to its number density by the equation of state where and are constants. If the initial volume of the fluid is the work done on the system when it is compressed so as to increase the number density from an initial value of to is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 42

» Mathematical Methods of Physics » Special Functions » Laguerre

Appeared in Year: 2011

MCQ▾

Question

The generating function,

For the Legendre polynomials is . The value of is – (December)

Choices

Choice (4) Response

a.

b.

c.

+1

d.

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