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Question

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. The speed of particle is


A
2kλqm
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B
5kλqm
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C
kλqm
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D
3kλqm
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Solution

The correct option is A 2kλqm
Let v be the speed of particle moving in the circle.

Here, the electric force (Fe) acting on charge q due to infinite line charge will act as the required centripetal force.

So, Fe=mv2r

qE=mv2r

q×2kλr=mv2r [ E=2kλr]

v=2kλqm

Hence, option (b) is the correct answer.

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