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A bullet of mass m and charge q is fired...

A bullet of mass m and charge q is fired towards a solid uniformly charge sphere of radius R and total charge +q. If it strikes the surface of sphere with speed u, find the minimum value of u so that it can penetrate through the sphere. (Neglect all resistance force or friction acting on bullet except electrostatic forces)

A

`q/sqrt(2piepsilon_(0)mR)`

B

`q/sqrt(4piepsilon_(0)mR)`

C

`q/sqrt(8piepsilon_(0)mR)`

D

`(sqrt(3)q)/sqrt(4piepsilon_(0)mR)`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy at surface = Energy at centre
`1/2 m u^(2)+(Kqxxq)/R=3/2 (Kq)/(R)xxq+0`
`:. U=q/sqrt(4pi in_(0)mR)`
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