Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 11 - 13 of 69

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Question number: 11

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

Appeared in Year: 2012

MCQ▾

Question

If the Lagrangian of a particle moving in one dimension is given by the Hamiltonian is – (June)

Choices

Choice (4) Response

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b.

c.

d.

Question number: 12

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

Appeared in Year: 2012

MCQ▾

Question

Three particle of equal mass m are connected by two identical mass less springs of stiffness constant k as shown in figure –

A system of three particles and two springs

A System of Three Particles and Two Springs

In figure three particles of equal mass m are connected by two identical massless springs of stiffness constant k.

If denote the horizontal displacements of the masses from their respective equilibrium position, the potential energy of the system is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 13

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2011

MCQ▾

Question

A point particle of mass carrying an electric charge is attached to a spring of stiffness constant. A constant electric field E along the direction of the spring is switched on for a time interval T. Neglecting radiation loss, the amplitude of oscillation after the field is switched off is: (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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