# Classical Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 71 - 76 of 84

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## Question 71

Appeared in Year: 2006

### Question

MCQ▾

The mean internal energy of a one – dimensional classical harmonic oscillator in equilibrium with a heat bath of temperature is –

### Choices

Choice (4)Response

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d.

## Question 72

Classical Mechanics

Appeared in Year: 2006

### Question

MCQ▾

In an electromagnetic field, which one of the following remains invariant under Lorentz transformation?

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Choice (4)Response

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b.

c.

d.

## Question 73

Classical Mechanics

Appeared in Year: 2006

### Question

MCQ▾

A system of four particles is in plane. Of these, two particles each of mass are located at and . The remaining two particles each of mass are located at . The component of the moment of inertial tensor of this system of particle is –

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Choice (4)Response

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c.

d.

## Question 74

Classical Mechanics

Appeared in Year: 2006

### Question

MCQ▾

The mass of a moving particle is , where is its rest mass. The liner momentum of the particle is –

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Choice (4)Response

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d.

## Question 75

Classical Mechanics

Appeared in Year: 2006

### Question

MCQ▾

A particle of mass is moving such that at time , Its position, in meter, is given by . The angular momentum of the particle at about the origin, in , is –

### Choices

Choice (4)Response

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c.

d.

## Question 76

Appeared in Year: 2006

### Question

MCQ▾

A particle of charge , mass and linear momentum enters an electromagnetic field of vector potential and scalar potential . The Hamiltonian of the particle is –

### Choices

Choice (4)Response

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c.

d.

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