Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 28 - 31 of 69

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Question number: 28

» Classical Mechanics » Hamilton-Jacobi Theory

Appeared in Year: 2014

MCQ▾

Question

A mechanical system is described by the HamiltonianEquation . As a result of the canonical transformation generated byEquation , the Hamiltonian in the new coordinate Q and momentum P becomes – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 29

» Classical Mechanics » Special Theory of Relativity » Mass-Energy Equivalence

Appeared in Year: 2011

MCQ▾

Question

Given that the ground state energy of the hydrogen atom is Equation , the ground state energy of positronium (which is a bound state of an electron and a positronium) is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 30

» Classical Mechanics » Dynamical System

Appeared in Year: 2011

MCQ▾

Question

A particle of unit mass moves in a potentialEquation , where Equation and Equation are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 31

» Classical Mechanics » Central Force Motions

Appeared in Year: 2011

MCQ▾

Question

Two particles of identical mass move in circular orbits under a central potential Equation . Let Equation and Equation be the angular momenta and Equation be the radii of the orbits respectively. If Equation , the value of Equation is: (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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