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