Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 16

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Question number: 5

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

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

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b.

c.

d.

Question number: 6

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

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)

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Choice (4) Response

a.

b.

c.

d.

Question number: 7

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

Appeared in Year: 2012

MCQ▾

Question

The Hamiltonian of a simple pendulum consisting of a mass attached to a massless string of length is . If L denotes the Lagrangian, the value of is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 8

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

Appeared in Year: 2013

MCQ▾

Question

A pendulum consists of a ring of mass M and radius R suspended by a massless rigid rod of length attached to its rim. When the pendulum oscillates in the plane of the ring, the time period of oscillation is (Dec. 2013)

Choices

Choice (4) Response

a.

b.

c.

d.

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