CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 247 - 249 of 463

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Question number: 247

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

A particle is prepared in a simultaneous eigenstate of Equation and Equation . If Equation and Equation are respectively the eigenvalues of Equation and Equation , then the expectation value Equation of the particle in this state satisfies – (December -2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 248

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2013

MCQ▾

Question

Consider a system of two Ising spins Equation and Equation taking values Equation with interaction energy given by Equation , when it is in thermal equilibrium at temperature T. For large T, the average energy of the system varies as Equation , with C given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 249

» Mathematical Methods of Physics » Solution of First Order Differential Equation Using RungeKutta Method

Appeared in Year: 2013

MCQ▾

Question

The solution of the partial differential equation,

Equation

Satisfying the boundary conditions Equation and initial conditions Equation and Equation is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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