Physics · 2022
JEE Main · 29 July 2022, Shift 1 · Q40
A spherically symmetric charge distribution is considered with charge density varying as ρ(r)= {ρ_0(3/4-r/R), for r ≤ R; zero, for r>R} Where, r ( r…
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, $\displaystyle \mathrm{r}(\mathrm{r}<\mathrm{R})$ is the distance from the centre O (as shown in figure). The electric field at point $\displaystyle P$ will be :

Official answer
(3)
$\displaystyle \frac{\rho_0 \mathrm{r}}{4 \varepsilon_0}\left(1-\frac{\mathrm{r}}{\mathrm{R}}\right)$
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JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.