Q.

A particle of charge –q and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density +λ.Then time period will be − where k=14π∈0

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a

T=2πrm2kλq

b

T2=4π2m2kλqr3

c

T=12πr2kλqm

d

T=12πrm2kλq

answer is A.

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Detailed Solution

Here electric force on the particle provide required centripetal force.F=qE=mv2rqλ2πε0r=mv2r or v=λq2πε0mT=2πrvT=2πr2πε0mλq
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A particle of charge –q and mass m moves in a circle of radius r around an infinitely long line charge of linear charge density +λ.Then time period will be − where k=14π∈0