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A charge \( +Q \) is uniformly distributed in a spherical volume of radius \( R \). A particle of charge \( +q \) and mass \( m \) projected with
\( \mathrm{P} \) velocity \( v_{0} \) from the surface of the spherical volume to its centre

W inside a smooth tunnel dug across the sphere. The minimum value of \( v_{0} \) such that it just reaches the centre (assume that there is no resistance on the particle except electrostatic force) of the spherical volume is :
(A) \( \sqrt{\frac{Q q}{2 \pi \varepsilon_{0} m R}} \)
(B) \( \sqrt{\frac{Q q}{\pi \varepsilon_{0} m R}} \)
(C) \( \sqrt{\frac{2 Q q}{\pi \varepsilon_{0} m R}} \)
(D) \( \sqrt{\frac{Q q}{4 \pi \varepsilon_{0} m R}} \)
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