Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 56 - 58 of 69

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Question number: 56

» Classical Mechanics » Special Theory of Relativity » Lorentz Transformations

Appeared in Year: 2016

MCQ▾

Question

Let and be the coordinate systems used by the observers and , respectively. Observer moves with a velocity along their common positive axis. If and are the linear combinations of the coordinates the Lorentz transformation relating and takes the form – (June)

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Choice (4) Response

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b.

c.

d.

Question number: 57

» Classical Mechanics » Dynamical System

Appeared in Year: 2016

MCQ▾

Question

A ball of mass , initially at rest, is dropped from a height of meters. If the coefficient of restitution is , the speed of the ball just before it hits the floor the second time is approximately – (take ) (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 58

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

Appeared in Year: 2016

MCQ▾

Question

The Hamiltonian of a system with generalized coordinate and momentum is . A solution of the Hamiltonian equation of motion is – (in the following and are constants) (June)

Choices

Choice (4) Response

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b.

c.

d.

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