Classical Mechanics-Periodic Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 6 - 8 of 9

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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 densityEquation , floats vertically on the surface of a liquid of densityEquation . 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation where Equation are positive constants. The frequency of small oscillation about a point of stable equilibrium is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 8

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2016

MCQ▾

Question

Four equal charges of Equation each are kept at the vertices of a square of side Equation . A particle of mass Equation and charge Equation is placed in the plane of the square at a short distance Equation 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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