CSIR Physical Sciences: Questions 162 - 163 of 389

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Question number: 162

» Thermodynamic and Statistical Physics » Random Walk

Appeared in Year: 2014

MCQ▾

Question

A random walker takes a step of unit length in the positive direction with probability 23 and a step of unit length in the negative direction with probability 13 . The mean displacement of the walker after n steps is – (December)

Choices

Choice (4) Response
a.

0

b.

n8

c.

n3

d.

2n3

Question number: 163

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2014

MCQ▾

Question

A scalar and vector potential φ(x,t) and A(x,t) are determine up to a gauge transformation φφ=φξt and AA=A+ξ , where ξ is an arbitrary continuous and differential function of x and t . If we further impose the Lorenz gauge condition,

A+1c2φt=0

Then a possible choice for the gauge function ξ(x,t) is – (Where ω,k are nonzero constants with =c k ) (December)

Choices

Choice (4) Response
a.

cosωtcoshkx

b.

sinhωtcoskx

c.

coshωtcoskx

d.

coshωtcoshkx

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