A neutral sphere of radius r and density `rho` is placed in a uniform electric field E that exists on the earth's surface in the vertically upward direction. If atomic number and the mass number of the material of the sphere are Z and A respectively, then the fraction of electrons that should be removed from the sphere for it to remain in equilibrium is [Assume that the sphere is able to hold the necessary charge without any leakage. Here `N_(A)` - Avogadro number]

Options

A. `(2g)/(eEZAN_(A))`
B. `(3gA)/(eEN)`
C. `(gA)/(eEZN_(A))`
D. `(2g.A)/(eEZN_(A))`

Answer

C