Classical Mechanics-Conservation Laws and Cyclic Coordinates (CSIR Physical Sciences): Questions 1 - 2 of 2

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Question number: 1

» 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 a and b respectively, the angular momentum of the planet is – (December)

Choices

Choice (4) Response

a.

2GMm2(a+b)

b.

2GMm2(ab)

c.

2GMm2aba+b

d.

2GMm2abab

Question number: 2

» 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, V(x)=axbx3 ; where a,b 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.

(16a327m2b)14

b.

(3a364m2b)14

c.

(64a327m2b)14

d.

(64a39m2b)14

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