CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 266 - 268 of 463

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Question number: 266

» Quantum Mechanics » Variational Method

Appeared in Year: 2013

MCQ▾

Question

The bound on the ground state energy of the Hamiltonian with an attractive delta – function potential, namely

Using the variational principle with the trial wavefunction is – (June)

Choices

Choice (4) Response

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b.

c.

d.

Question number: 267

» Mathematical Methods of Physics » Fourier and Laplace Transforms

Appeared in Year: 2013

MCQ▾

Question

The inverse Laplace transform of is – (June)

Choices

Choice (4) Response

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b.

c.

d.

Question number: 268

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

Appeared in Year: 2013

MCQ▾

Question

Consider a particle of mass m attached to two identical springs each of length and spring constant (see the figure below). The equilibrium configuration is the one where the springs are unstretched. There are no other external forces on the system. If the particle is given a small displacement along the x – axis, which of the following describes the equation of motion for small oscillations?

 A particle attached to two identical springs

a Particle Attached to Two Identical Springs

In figure a particle of mass m attached to two identical springs is shown each of length l and spring constant k.

(Dec- 2013)

Choices

Choice (4) Response

a.

b.

c.

d.

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