Classical Mechanics-Lagrange's and Hamilton's Formalisms (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 3 of 20

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Question number: 1

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2015

MCQ▾

Question

The Hamiltonian for a system of two particles of masses Equation and Equation at Equation and Equation having velocities Equation and Equation is given by Equation , where C is a constant. Which one of the following statements is correct?

Choices

Choice (4) Response

a.

Only the total energy is conserved

b.

The total energy and total momentum are conserved

c.

The total energy and total angular momentum are conserved.

d.

The total energy and Equation component of the total angular momentum are conserved

Question number: 2

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2015

MCQ▾

Question

The Lagrangian for a particle of mass m at a position Equation moving with a velocity Equation is given by Equation , where Equation is a potential and C is a constant. If Equation is the canonical momentum, then its Hamiltonian is given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2014

MCQ▾

Question

The Hamilton’s canonical equations of motion in terms of Poisson Brackets are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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