GATE PH topic:classical-mechanics PYQs & Answers

Home
GATE
Physics
Topics
topic:classical-mechanics

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 51. Imported answers require independent review unless marked reviewed.

Topic practice 51 questionsPage 1 of 6

is the generating function of a canonical transformation from

, then which one of the following relations is correct?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be the phase space density of an ensemble of a system. The Hamiltonian of the system is

. If

denotes the Poisson bracket of

and

, then

implies

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An inertial observer sees two spaceships S and T flying away from each other along x-axis with individual speed

, where c is the speed of light. The speed of T with respect to S is

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the Lagrangian

. If

and

denote the generalized momenta conjugate to

and

, respectively, then the canonical equations of motion are

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The equation of motion for the forced simple harmonic oscillator is

where

and

. Which one of the following options is correct?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Lagrangian of a particle of mass

, where

is a positive constant. If the particle oscillates with total energy

, then the time period of oscillations is

The value of

is _____ (in integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A rod

of proper length

lies along the

-axis and moves towards the positive

direction with speed

with respect to the ground (see figure), where

is the speed of light in vacuum. An observer on the ground measures the positions of

and

at different times

and

respectively in the ground frame, and finds the difference between them to be

. What is the value of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A symmetric top has principal moments of inertia

about a set of principal axes 1, 2, 3, respectively, passing through its center of mass, where

is a positive constant. There is no force acting on the body and the angular speed of the body about the 3-axis is

rad/s. With what angular frequency in rad/s does the angular velocity vector

precess about the 3-axis?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A particle of mass

is free to move on a frictionless horizontal two dimensional

plane, and is acted upon by a force

with

being a positive constant. If

and

are the generalised momenta corresponding to

and

respectively, then what is the value of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

From the pairs of operators given below, identify the ones which commute. Here

and

correspond to the orbital angular momentum and the total angular momentum, respectively.

Your answerSelect all correct options. You can choose more than one.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE PH topic:classical-mechanics PYQs

How to practice topic:classical-mechanics

Question 11

Question 23

Question 25

Question 38

Question 41

Question 60

Question 40

Question 41

Question 42

Question 21