For the electric field $$E$$, in a region of space where a non-uniform, but spherically symmetric distribution of charge has a charge density $$\rho(r) = \rho_0\left(1 - \frac{r}{R}\right)$$ for $$r \le R$$ and $$\rho(r) = 0$$ for $$r \ge R$$, one can say that

A

$$E = 0$$ both at $$r = 0$$ and $$r = R$$

B

$$E \propto r$$ for $$r < R$$ and $$E \propto \frac{1}{r^2}$$ for $$r \ge R$$

C

the magnitude of $$E$$ increases with $$r$$ and reaches its maximum at $$r = \frac{2R}{3}$$

D

the maximum electric field produced by the given charge distribution is $$E_{\max} = \frac{\rho_0R}{3\epsilon_0}$$