Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 8 - 10 of 69

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Question number: 8

» 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: 9

» 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

Question number: 10

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m and coordinate has the Lagrangian; where is a constant. The Hamiltonian for the system is given by, (June)

Choices

Choice (4) Response

a.

b.

c.

d.

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