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Positive charge Q is uniformly distribut...

Positive charge Q is uniformly distributed throughout the volume of a sphere of radius R. A Point mass having charge `+q` and mass m is fired towards the centre of the sphere with velocity v from a point A at distance `r(r gt R)` from the centre of the sphere. Find the minimum, so that it can penetrate R/2 distance of the sphere. Neglect any resistance other than:e-c141::, interaction. Charge on the small mass remains constant throughout the motion

Text Solution

Verified by Experts

The correct Answer is:
`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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