Classical Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 23 - 27 of 84

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Question 23

Appeared in Year: 2012

Question

MCQ▾

A particle of unit mass moves along the X – axis under the influence of a potential, . The particle is found to be in stable equilibrium at the point . The time period of oscillation of the particle is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 24

Classical Mechanics

Appeared in Year: 2012

Question

MCQ▾

A rod of proper length oriented parallel to the X- axis moves with speed along the Y – axis in the S – frame, where C is the speed of light in free space. The observer is also moving along the X – axis with speed with respect to the S – frame. The length of the rod as measured by the observer is

Choices

Choice (4)Response

a.

b.

c.

d.

Passage

A particle of mass slides under the gravity without friction along the parabolic path , as shown in the figure. Here, is a constant.

A Particle is Sliding Along the Parabolic Path

Question 25 (1 of 2 Based on Passage)

Appeared in Year: 2012

Question

MCQ▾

The Lagrangian for this particle is given by –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 26 (2 of 2 Based on Passage)

Appeared in Year: 2012

Question

MCQ▾

The Lagrange՚s equation of motion of the particle is –

Choices

Choice (4)Response

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b.

c.

d.

Question 27

Classical Mechanics

Appeared in Year: 2011

Question

MCQ▾

A heavy symmetrical top is rotating about its own axis of symmetry (the axis) . If and are the principal moments of inertia along and axes respectively, then –

Choices

Choice (4)Response

a.

b.

c.

d.

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