The nuclear charge (`Ze`) is non uniformlly distribute with in a nucleus of radius `r`. The charge density `rho(r)` (charge per unit volume) is dependent only on the radial distance r form the centre of the nucleus s shown in figure. The electric field is only along the radial direction.

For a=0 the value of d (maximum value of `rho` as shown in the figure) is

Options

A. `(3Ze)/(4piR^3)`
B. `(3Ze)/(piR^3)`
C. `(4Ze)/(3piR^3)`
D. `(Ze)/(3piR^3)`

Explanation

Net charge within `rltR` is constant, hence , electric field is independent of a.
`q=int_(0)^(R)(d)/(R)(R-x)4pix^(2)dx=Ze`
`d=(3Ze)/(piR^(3))`
if within a phere `rho` is constant then `Epropr`