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Let there be a spherically symmetric charge distribution with charge density varying as $\rho (r)=\;\rho _0\left( {\frac{5}{4} - \frac{r}{R}} \right)$, upto $r = R$ ,and $\rho (r) = 0$ for $r > R$ , where $r$ is the distance from the origin. The electric field at a distance $r(r < R)$ from the origin is given by

• A
  $\frac{{{\rho _o}r}}{{3{\varepsilon _0}}}\;\left( {\frac{5}{4} - \frac{r}{R}} \right)\;\;\;\;\;\;$
• B
  $\frac{{4\pi {\rho _0r}}}{{3{\varepsilon _0}}}\;\left( {\frac{5}{3} - \frac{r}{R}} \right)$
• ✓
  $\frac{{{\rho _o}r}}{{4{\varepsilon _0}}}\;\left( {\frac{5}{3} - \frac{r}{R}} \right)$
• D
  $\frac{{4\pi {\rho _0r}}}{{3{\varepsilon _0}}}\;\left( {\frac{5}{4} - \frac{r}{R}} \right)$