In the figure , the inner (shaded ) region .A represents a sphere of radius `r_(A) = 1` , within which the electrostatic charge density varies with the radial distance r from the center as `rho_(A) =kr` , where k is positive . In the spherical shell B of outer radius `r_(B)` , the electrostatic charge density varies as `rho_(beta)=(2k)/r` . Assume that dimensions are taken care of .All physical quantities are in their SI units .

Which of the following statements (s) is (are ) correct ?

Options

A. If `r_(B) =sqrt(3/2)` ,then the electric field is zero everywhere outside B.
B. If `r_(B)=3/2` ,then the electric potential just outside B is `k/(epsilon_(0))` .
C. If `r_(B)=2`, then the total charge of the configuration is `15 pik`
D. If`r_(B) =5/2 `, then the magnitude of the electric field just outside B is `(13pik)/(epsilon_(0))`.