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A particle of mass m and charge q is located midway between two fixed charged particles each having a charge q and a distance 2l apart. Prove that the motion of the particle will be SHM if it is displaced slightly along the line connecting them and released. Also find its time period.

A

`(q)/(2pi)sqrt((1)/(m pi in_(0)L^(3)))`

B

`(q)/(2pi)sqrt((4)/(m pi in_(0)L^(3)))`

C

`(q)/(2pi)sqrt((1)/(4m pi in_(0)L^(3)))`

D

`(q)/(2pi)sqrt((1)/(16m pi in_(0)L^(3)))`

Text Solution

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The correct Answer is:
A
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