CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 177 - 179 of 463

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Question number: 177

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2011

MCQ▾

Question

The perturbationEquation , where Equation is a constant, is added to the one dimensional harmonic oscillator potential Equation . Which of the following denotes the correction to the ground state energy to first order in b?

Hint: The normalized ground state wave function of the one dimensional harmonic oscillator potential is Equation . You may use the following integral

Equation

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 178

» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta

Appeared in Year: 2011

MCQ▾

Question

The energy of the first excited quantum state of a particle in the two dimensional potential Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 179

» Electronics and Experimental Methods » Device Characteristics

Appeared in Year: 2011

MCQ▾

Question

A battery powers two circuitsEquation andEquation as shown in the figure,

A battery powers two circuits

A Battery Powers Two Circuits

In figure a battery powers two circuits shown.

The total current Equation drawn from the battery is estimated by measuring the currents Equation and Equation through the individual circuits. If Equation and Equation are both 200 mA and if the errors in their measurement are 3 mA and 4 mA respectively, the error in the estimate of Equation is –

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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