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A particle of mass m and charge -q moves...

A particle of mass `m` and charge `-q` moves along a diameter of a uniformly charged sphere of radius `R ` and carrying a total charge ` +Q`. Find the frequency of S.H.M. of the particle if the amplitude does not exceed `R` .

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The correct Answer is:
`1/(2pi)sqrt((qQ)/(4pi in_(0) mR^(3)))`

Force on charge at position P
`=-(1/(4pi in_(0))xxQ/R^(3)x)q=-m omega^(2)x`
`T=2pisqrt((qQ)/(4pi in_(0)xxmR^(3)))`
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