# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 103 - 107 of 659

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## Question 103

Appeared in Year: 2014

### Question

MCQ▾

A bead of mass can slide without friction along a massless rod kept at with the vertical as shown in the figure. The rod is rotating about the vertical axis with a constant angular speed . At any instant, is the distance of the bead from the origin. The momentum conjugate to is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 104

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 105

Appeared in Year: 2012

### Question

MCQ▾

The first Stokes line of rotational Raman spectrum is observed at . Considering the rigid rotor approximation, the rotational constant is given by –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 106

Appeared in Year: 2012

### Question

MCQ▾

The eigen values of the matrix are –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 107

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.

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.

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