Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 11 - 13 of 16

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Question number: 11

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

Appeared in Year: 2011

MCQ▾

Question

The Hamiltonian of a particle of unit mass moving in the XY – plane is given to be:

Equation in suitable units. The initial values are given to be Equation and Equation . During the motion, the curves traced out by the particles in the xy – plane and the Equation plane are (June)

Choices

Choice (4) Response

a.

both hyperbolas

b.

both straight lines

c.

a hyperbola and an ellipse, respectively

d.

a straight line and a hyperbola respectively

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 Equation is Equation . A solution of the Hamiltonian equation of motion is – (in the following Equation and Equation are constants) (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation 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

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