Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 36 - 39 of 69

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Question number: 36

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

A canonical transformation relates the old coordinates to the new ones by the relations and . The corresponding time – independent generating function is – (June – 2014)

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Choice (4) Response

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d.

Question number: 37

» Classical Mechanics » Conservation Laws and Cyclic Coordinates

Appeared in Year: 2013

MCQ▾

Question

A particle of mass m is at the stable equilibrium position of its potential energy, ; where are positive constants. The minimum velocity that has to be imparted to the particle to render its motion unstable is – (June)

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Choice (4) Response

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Question number: 38

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

The time evolution of one – dimensional system is described by . If this has one stable and two unstable fixed points, then the parameter b satisfies – (June – 2014)

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Choice (4) Response

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d.

Question number: 39

» 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)

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Choice (4) Response

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