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A particle of mass M and charge q is at ...

A particle of mass M and charge q is at rest at the midpoint between two other fixed similar charges each of magnitude Q placed a distance 2d apart. The system is collinear as shown in the figure. The particle is now displaced by a small amount `x(x lt lt d)` along the line joining the two charges and is left to itself. It will now oscillate about the mean position with a time period (`epsi_(0)`= permittivity of free space)

A

`2 sqrt((pi^(3)M epsi_(0)d)/(Qq))`

B

`2 sqrt((pi^(2)M epsi_(0)d^(3))/(Qq))`

C

`2 sqrt((pi^(3)M epsi_(0)d^(3))/(Qq))`

D

`2 sqrt((pi^(3) Mepsi_(0))/(qQd^(3))`

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