JEE Advanced Electrostatics (Non-conductors) 1

A particle of mass \(1\ kg\) and charge \(1/3\ \mu C\) is projected towards a non-conducting fixed spherical shell having the same charge uniformly distributed on its surface. The minimum initial velocity of projection required if the particle just grazes the shell is \(\psi\). Calculate \(\lfloor 10^3\psi\rfloor\)

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