A spherically symmetric charge distribution is considered with charge density varying as$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}$Where, $r(r < R)$ is the distance from the centre O (as shown in figure). The electric field at point P will be:

Question

A spherically symmetric charge distribution is considered with charge density varying as

$\rho(r)= \begin{cases}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { zero } & \text { for } r>R\end{cases}$

Where, $r(r < R)$ is the distance from the centre O (as shown in figure). The electric field at point P will be:

$\frac{\rho_{0} \mathrm{r}}{4 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)$

$\frac{\rho_{0} r}{3 \varepsilon_{0}}\left(\frac{3}{4}-\frac{r}{R}\right)$

$\frac{\rho_{0} r}{4 \varepsilon_{0}}\left(1-\frac{r}{R}\right)$

$$ \frac{\rho_{0} r}{5 \varepsilon_{0}}\left(1-\frac{r}{R}\right) $$

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