CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 253 - 255 of 401

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Question number: 253

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

Appeared in Year: 2012

MCQ▾

Question

The Hamiltonian of a simple pendulum consisting of a mass Equation attached to a massless string of length Equation is Equation . If L denotes the Lagrangian, the value of Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 254

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2012

MCQ▾

Question

Given a Equation unitary matrix Equation satisfying Equation with Equation , one can construct a unitary matrix Equation with Equation from it by, (December)

Choices

Choice (4) Response

a.

Multiplying Equation by Equation

b.

Multiplying Equation by Equation

c.

Multiplying any single element of Equation by Equation

d.

Multiplying any row or column of Equation by Equation

Question number: 255

» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation

Appeared in Year: 2014

MCQ▾

Question

The scattering amplitude Equation for the potential Equation ; where Equation and Equation are positive constants, is given, in the Born approximation, by (in the following Equation and Equation ) – (June – 2014)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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