A system consits of a uniformly charged sphere of radius R and a surrounding medium filled by a charge with the volume density `rho=alpha/r`, where `alpha` is a positive constant and r is the distance from the centre of the sphere. Find the charge of the sphere for which the electric field intensity E outside the sphere is independent of R.

Options

A. `q=piR^(2)alpha,E=alpha//epsilon_(0)`
B. `q=2piR^(2)alpha,E=(1)/(2)alpha//epsilon_(0)`
C. `q=2piRalpha^(2),E=(1)/(3)alpha//epsilon_(0)`
D. `q=3piRalpha^(2),E=(1)/(5)alpha//epsilon_(0)`

Answer

B