Electrostatics

The volume charge density of a sphere of radius \(6 \mathrm{~m}\) is \(2 \,\mu \mathrm{C} \,\mathrm{cm}^{-3}\). The number of lines of force per unit surface area coming out from the surface of the sphere is _______________ \(\times 10^{10} \,\mathrm{NC}^{-1}\).

[Given : Permittivity of vacuum \(\epsilon_{0}=8.85 \times 10^{-12} \,\mathrm{C}^{2}\, \mathrm{~N}^{-1}-\mathrm{m}^{-2}\) )