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A positive charge Q is uniformly distributed throughout the volume of dielectric sphere of radius R.A point mass having charge +q and mass m is fired towards the center of the sphere with velocity v from a point distance r(r>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.

A positive charge Q is uniformly distributed throughout the volume of dielectric sphere of radius R.A point mass having charge +q and mass m is fired towards the center of the sphere with velocity v from a point distance r(r>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.

Grade:12

1 Answers

Divyanshu Rawat
38 Points
4 years ago
It is a good question.
So the simple trick here is to apply energy conservation.
Equate the initial energy to the final energy that the particle will posses throughout the motion.
And enjoy your answer
 
 
Hope it helps
Thankyou

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