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A thin fixed ring of radius 'R' and posi...

A thin fixed ring of radius 'R' and positive charge 'Q' is placed in a vertical plane. A particle of mass 'm' and negative charge 'q' is placed at the centre of ring. If the particle is given a small horizontal displacement, show that it executes SHM. Also find the time period of small oscillations of this particle, about the centre of ring. (Ignore gravity)

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`2pisqrt((4piepsilon_(0)mR^(3))/(qQ))`
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