Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR Physical Sciences): Questions 1 - 4 of 12

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Question number: 1

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

Appeared in Year: 2013

MCQ▾

Question

The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by Equation , in units in which the speed of light Equation . The corresponding Lagrangian is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

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

Appeared in Year: 2013

MCQ▾

Question

The Lagrangian of a particle of mass m moving in one dimension is given by,

Equation

Where, b is a positive constant. The coordinate of the particle Equation at time t is given by: (in the following Equation and Equation are constants) (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

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

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m and coordinate Equation has the Lagrangian Equation ; where Equation is a constant. The Hamiltonian for the system is given by, (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 4

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

Appeared in Year: 2012

MCQ▾

Question

If the Lagrangian of a particle moving in one dimension is given by Equation the Hamiltonian is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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