1
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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
kλqm
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B
2kλqm
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C
3kλqm
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D
5kλqm
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Solution

## The correct option is B √2kλqmLet 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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