A cavity of radius \( r \) is made inside a solid sphere. The volume charge density of the remai...

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A cavity of radius \( r \) is made inside a solid sphere. The volume charge density of the remaining sphere is \( \rho \). An electron (charge e, mass \( m \) ) is released inside the cavity from point \( P \) as shown in figure. The center of sphere and center of cavity are separated by a distance a. The time after which the electron again touches the sphere is
(1) \( \sqrt{\frac{6 \sqrt{2} r \varepsilon_{0} m}{e p a}} \)
(2) \( \sqrt{\frac{\sqrt{2} r \varepsilon_{0} m}{e p a}} \)
(3) \( \sqrt{\frac{6 r \varepsilon_{0} m}{e p a}} \)
(4) \( \sqrt{\frac{r \varepsilon_{0} m}{e p a}} \)
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