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A positive charge Q is uniformly distributed throughout the volume of a dielectric sphere of radius R. A point mass having charge +q and mass m is fired toward the center of the sphere with velocity v from a point at distance `r (r gt R)` from the center of the sphere. Find the minimum velocity v so that it can penetrate `(R//2)` distance of the sphere. Neglect any resistance other than electric interaction. Charge on the small mass remains constant throughout the motion. |
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Answer» Correct Answer - `sqrt((2KQq)/(mR)((r-R)/r+3/8))` From the energy conservation `(KQq)/r+1/2 mv(2)=11/8(KQq)/R+0` `v=sqrt((2KQq)/(mR)[11/8-R/r])` |
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