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))`

A bullet of mass m and charge `q` is fired towards a solid uniformly c

1.	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))`
Answer» Correct Answer - 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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