# Classical Mechanics-Conservation Laws (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 5

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## Question number: 1

» Classical Mechanics » Conservation Laws

Appeared in Year: 2015

MCQ▾

### Question

Four forces are given below in Cartesian and spherical polar coordinates.

(i)

(ii)

(iii)

(iv)

Where K is a constant. Identify the correct option.

### Choices

Choice (4) Response

a.

(i) and (ii) are conservative but (iii) and (iv) are not

b.

(ii) and (iii) are conservative but (i) and (iv) are not

c.

(iii) and (iv) are conservation but (i) and (ii) are not

d.

(i) and (iii) are conservative but (ii) and (iv) are not

## Question number: 2

» Classical Mechanics » Conservation Laws

Appeared in Year: 2014

MCQ▾

### Question

The recoil momentum of an atom is when it emits an infrared photon of wavelength , and it is when it emits a photon of visible wavelength . The ratio is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 3

» Classical Mechanics » Conservation Laws

Appeared in Year: 2015

MCQ▾

### Question

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 number: 4

» Classical Mechanics » Conservation Laws

Appeared in Year: 2009

MCQ▾

### Question

A classical particle is moving in an external potential field which is invariant under the following infinitesimal transformation –

Where is the matrix corresponding to rotation about the axis. The conserved quantities are (the symbols have their usual meaning)

### Choices

Choice (4) Response

a.

b.

c.

d.

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