Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 35 - 38 of 59

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Question number: 35

» Classical Mechanics » Conservation Laws and Cyclic Coordinates

Appeared in Year: 2012

MCQ▾

Question

A planet of mass m moves in the gravitational field of the Sun (mass M). If the semi – major and semi – minor axes of the orbit are Equation and Equation respectively, the angular momentum of the planet is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 36

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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, Equation ; where Equation are positive constants. The minimum velocity that has to be imparted to the particle to render its motion unstable is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 38

» Classical Mechanics » Dynamical System

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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