Physics - Electrostatics Question with Solution | TestHub

The charge density inside a nucleus is given by $\rho ={\rho }_0\left(1-\frac{{\mathrm{r}}^2}{{\mathrm{a}}^2}\right)$ where $\mathrm{r}\le \mathrm{a},\mathrm{a}=$ radius of nucleus $=3\mathrm{fm}$ and ${\rho }_0=5\times 10^{25}\mathrm{C}/{\mathrm{m}}^3$. The electric field is maximum at $\mathrm{r}={\mathrm{r}}_0$. Find 100 ${\mathrm{r}}_0(\mathrm{infm})$ and fill as your answer ?