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Two points charges , each Q , are fixed ...

Two points charges , each `Q` , are fixed at separation `2d`. A charged particle having charge `q` and mass `m` is placed between them.
(a) Now this charged particle is slightly displaced along the line joining the charges , slow that it will execute simple harmonic motion and find the time period of oscillation.
(b) If charge `q` is negative and it is displaced slightly perpendicular to the line joining the charges , repeat the part `(a)`.

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