Classical Mechanics-Periodic Motion (CSIR Physical Sciences): Questions 6 - 8 of 8

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Question number: 6

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2012

MCQ▾

Question

A solid cylinder of height H, radius R and density ρ , floats vertically on the surface of a liquid of density ρ0 . The cylinder will be set into oscillatory motion when a small instantaneous downward force is applied. The frequency of oscillation is – (December)

Choices

Choice (4) Response

a.

ρ0gρH

b.

ρρ0gH

c.

ρgρ0H

d.

ρgρ0H

Question number: 7

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m is moving in the potential V(x)=12ax2+14bx4; where a,b are positive constants. The frequency of small oscillation about a point of stable equilibrium is – (December)

Choices

Choice (4) Response

a.

6am

b.

2am

c.

am

d.

3am

Question number: 8

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2016

MCQ▾

Question

Four equal charges of +Q each are kept at the vertices of a square of side R . A particle of mass m and charge +Q is placed in the plane of the square at a short distance a(R) from the centre. If the motion of the particle is confined to the plane, it will undergo small oscillations with an angular frequency – (June)

Choices

Choice (4) Response

a.

2Q2πϵ0R3m

b.

Q22πϵ0R3m

c.

Q2πϵ0R3m

d.

Q24πϵ0R3m

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