Classical Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 67 - 70 of 84

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Question 67

Classical Mechanics

Appeared in Year: 2008

Question

MCQ▾

The moment of inertia tensor of a rigid body is given by . The magnitude of the moment of inertia about an axis is –

Choices

Choice (4)Response

a.

2

b.

c.

6

d.

5

Question 68

Appeared in Year: 2008

Question

MCQ▾

The Lagrangian of a system is given by . It describes the motion of –

Choices

Choice (4)Response

a.

A harmonic oscillator

b.

A damped harmonic oscillator

c.

An anharmonic oscillator

d.

A system with unbounded motion

Question 69

Appeared in Year: 2007

Question

MCQ▾

Three particles of mass each situated at and respectively are connected by two springs of spring constant and un – stretched length . The system is free to oscillate only in one dimension along the straight line joined all the tree particles. The Lagrangian of the system is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 70

Appeared in Year: 2006

Question

MCQ▾

The phase diagram of a free particle of mass and kinetic energy , moving in one – dimensional box with perfectly elastic walls at and , is given by –

Choices

Choice (4)Response

a.

The Phase Diagram (Choice A)

b.

The Phase Diagram (Choice B)

c.

The Phase Diagram (Choice C)

d.

The Phase Diagram (Choice D)

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