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Two identical particles of charge q each...

Two identical particles of charge `q` each are connected by a massless spring of force constant `k`. They are placed over a smooth horizontal surface. They are released when the separation between them is `r` and spring is unstretched. If maximum extension of the spring is `r`, the value of `k` is (neglect gravitational effect)

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From conservation of mechanical energy
`(1)/(2) Kr^(2) = (1)/(4pi in_(0)) [(q^(2))/(r ) - (q^(2))/(r + r)] or (1)/(2) Kr^(2) = (q^(2))/(8pi in_(0)r), K = (q^(2))/(4pi in_(0) r^(3))`
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