Classical Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 18 - 22 of 84

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Question 18

Classical Mechanics

Appeared in Year: 2015

Question

MCQ▾

A particle with rest mass M is at rest and decays into two particles of equal rest masses , which move along the Z – axis. Their velocities are given by,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 19

Appeared in Year: 2012

Question

MCQ▾

A particle of mass is attached to a fixed point by a weightless inextensible string of length . It is rotating under the gravity as shown in the figure.

A Particle Rotates About Z – Axis

The Lagrangian of the particle is,

Where, and are the polar angles.

The Hamiltonian of the particle is,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 20

Appeared in Year: 2012

Question

MCQ▾

In a central force field, the trajectory of particle of mass , and angular momentum in plan polar coordinates in given by,

Where, is the eccentricity of the particle՚s motion. Which one of the following choices for gives rise a parabolic trajectory?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 21

Appeared in Year: 2016

Question

MCQ▾

The Lagrangian of a system is given by

, where are constants.

Which of the following is conserved?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 22

Classical Mechanics

Appeared in Year: 2012

Question

MCQ▾

Two uniform thin rods of equal length and masses and are joined together along the length. The moment of inertia of the combined rod of length about an axis passing through the mid – point and perpendicular to the length of the rod is –

Choices

Choice (4)Response

a.

b.

c.

d.

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