Classical Mechanics-Periodic Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 3 of 9

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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.

b.

c.

d.

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 and respectively, the fractional error in measuring is best approximated by, (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Classical Mechanics » Periodic Motion » Small Oscillations

Appeared in Year: 2014

MCQ▾

Question

The time period of a simple pendulum under the influence of the acceleration due to gravity is T. The bob is subjected to an additional acceleration of magnitude in the horizontal direction. Assuming small oscillations, the mean position and time period of oscillation, respectively, of the bob will be – (June)

Choices

Choice (4) Response

a.

to the vertical and

b.

to the vertical and

c.

to the vertical and

d.

to the vertical and

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