Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 6 of 16

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Question number: 1

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

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Appeared in Year: 2013

MCQ▾

Question

The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by , in units in which the speed of light . The corresponding Lagrangian is – (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 2

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

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Appeared in Year: 2013

MCQ▾

Question

The Lagrangian of a particle of mass m moving in one dimension is given by,

Where, b is a positive constant. The coordinate of the particle at time t is given by: (in the following and are constants) (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 3

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

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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: 4

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

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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

a.

b.

c.

d.

Question number: 5

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

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Appeared in Year: 2014

MCQ▾

Question

The equation of motion of a system described by the time dependent Lagrangian is – (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 6

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

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Appeared in Year: 2013

MCQ▾

Question

A system is governed by Hamiltonian,

Where a and b are constant are are momenta conjugate to and respectively. For what value of and will the quantities and be conserved? (June)

Choices

Choice (4)Response

a.

b.

c.

d.

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