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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 uniformluy charged sphere of radinus `R ` and carrying a total charge ` +Q`. Find the frequency of S.H.M. of the particle if the amplitude does not exceed .

Text Solution

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The correct Answer is:
` 1/( 2 pi) sqrt ((qQ)/( 4 pi varepsilon_0 mR^3)`
` F= qE`
`F_R =- q Q/( 4 pi in_0 R^3 ) .x`

`F_R =- Q/( 4 in_0R^3 ) x` compare whith ` F_R =- Kx` and
put in ` n 1/(2 pi sqrt( K/m)`
`n = 1/(2pi) sqrt ((Qq)/(4 pi in_0 R^3 m))` .
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