Classical Mechanics-Periodic Motion (CSIR Physical Sciences): Questions 1 - 2 of 7

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Question number: 1

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2013

MCQ▾

Question

A particle of charge e and mass m is located at the midpoint of the line joining two fixed collinear dipoles with unit charges as shown in figure. (The particle is constrained to move only along the line joining the dipoles. ) Assuming that the length of the dipoles is much shorter than their separation, the natural frequency of oscillation of the particle is – (June)

A system consists of a charged particle and two dipoles.

A System Consists of a Charged Particle and Two Dipoles.

In figure a particle of charge e and mass m is located at the midpoint of the line joining two fixed collinear dipoles with unit charges. The separation of dipoles is 2d and a charged particle placed at distance R from dipoles.

Choices

Choice (4) Response

a.

6e2d2πε0mR4

b.

6e2Rπε0md4

c.

6e2dπε0mR4

d.

6e2R2πε0md5

Question number: 2

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2013

MCQ▾

Question

The acceleration due to gravity g is determined by measuring the time period T and the length L of a simple pendulum. If the uncertainties in the measurements of T and L are ΔT and ΔL respectively, the fractional error Δgg in measuring g is best approximated by, (June)

Choices

Choice (4) Response

a.

ΔL L+ 2ΔT T

b.

ΔL 2L+ ΔT 2T

c.

ΔL L+ ΔT T

d.

(ΔLL)2+(2ΔTT)2

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