Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 12 - 14 of 16

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Question number: 12

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

Appeared in Year: 2016

MCQ▾

Question

The Hamiltonian of a system with generalized coordinate and momentum is . A solution of the Hamiltonian equation of motion is – (in the following and are constants) (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 13

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

Appeared in Year: 2016

MCQ▾

Question

The dynamics of a particle governed by the Lagrangian describes: (December)

Choices

Choice (4) Response

a.

a free particle

b.

an undamped harmonic oscillator with a time dependent frequency

c.

a damped harmonic oscillator with a time varying damping factor

d.

an undamped simple harmonic oscillator

Question number: 14

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

Appeared in Year: 2016

MCQ▾

Question

The parabolic coordinates are related to the Cartesian coordinates by and . The Lagrangian of a two – dimensional simple harmonic oscillator of mass and angular frequency is: (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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