CSIR Physical Sciences: Questions 39 - 41 of 401

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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 Equation has the Lagrangian Equation ; where Equation is a constant. The Hamiltonian for the system is given by, (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 40

» Mathematical Methods of Physics » Eigenvalues and Eigenvectors

Appeared in Year: 2014

MCQ▾

Question

The column vector Equation is a simultaneous eigenvector of Equation and Equation if,

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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