# Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 52 - 55 of 69

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## Question number: 52

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2011

MCQ▾

### Question

The Hamiltonian of a particle of unit mass moving in the XY – plane is given to be:

in suitable units. The initial values are given to be and . During the motion, the curves traced out by the particles in the xy – plane and the plane are (June)

### Choices

Choice (4) Response

a.

both hyperbolas

b.

both straight lines

c.

a hyperbola and an ellipse, respectively

d.

a straight line and a hyperbola respectively

## Question number: 53

» Classical Mechanics » Special Theory of Relativity » Mass-Energy Equivalence

Appeared in Year: 2011

MCQ▾

### Question

An atom of mass M can be excited to a state of mass by photon capture. The frequency of a photon which can cause this transition is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 54

» Classical Mechanics » Special Theory of Relativity » Relativistic Kinematics

Appeared in Year: 2011

MCQ▾

### Question

A planet of mass m moves in the inverse square central force field of the Sun of mass M. If the semi – major and semi – minor axes of the orbit are and , respectively, the total energy of the planet is: (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Passage

In the absence of an applied torque a rigid body with three distances principal moments of inertia given by is rotating freely about a fixed point inside the body. The Euler equations for the components of its angular velocity are

(June)

## Question number: 55 (1 of 1 Based on Passage) Show Passage

» Classical Mechanics » Rigid Body Dynamics - Moment of Inertia Tensor

Appeared in Year: 2011

MCQ▾

### Question

The constant of motion are –

### Choices

Choice (4) Response

a.

b.

c.

d.

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