CSIR Physical Sciences: Questions 312 - 314 of 389

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Question number: 312

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2012

MCQ▾

Question

Charges Q, Q and -2Q are placed on the vertices of an equilateral triangle ABC of sides of length a , as shown in the figure

Three charges at the vertices of triangle

Three Charges at the Vertices of Triangle

In figure charges Q, Q and – 2Q are placed on the vertices of an equilateral triangle ABC of sides of length a.

The dipole moment of this configuration of charges, irrespective of the choice of origin, is – (June)

Choices

Choice (4) Response
a.

+3aQj^

b.

0

c.

+2aQi^

d.

3aQj^

Question number: 313

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

The energy in the ground state and first excited state of a particle of mass m=12 in a potential V(x) are 4 and 1 , respectively, (in units in which =1 ). If the corresponding wave functions are related by ψ1(x)=ψ0(x)sinh(x) , then the ground state eigen function is – (December)

Choices

Choice (4) Response
a.

ψ0(x)=sech2x

b.

ψ0(x)=sechx

c.

ψ0(x)=sech3x

d.

ψ0(x)=sechx

Question number: 314

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

Consider an infinite conducting sheet in the XY – plane with a time dependent current density Kti^ , where K is constant. The vector potential at (x,y,z) is given by A=μ0K4c(ctz)2i^ . The magnetic field B is –

(December)

Choices

Choice (4) Response
a.

μ0Kz2cj^

b.

μ0K2c(ctz)j^

c.

μ0K2c(ctz)i^

d.

μ0Kt2j^

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