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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 charged sphere of radius `R ` and total charge ` + q`. If it strikes the surface of sphere with speed `u`, find the minimum speed `u` so that it can penetrate through the sphere , (Neglect all resistance forces 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
`(TE)_("surface")=(PE)_("centre")` Velocity of centre is nearly zero then it can across the sphere
`(1)/(4piepsilon_(0))(q.q)/(R)+(1)/(2)mv^(2)=(3)/(2)((1)/(4piepsilon_(0))(q)/(R))`
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