Consider a uniform spenerical charge distribution of radius $\mathrm{R}_1$ centred at the origin O . In this distribution, a spherical cavity of radius $R_2$, centred at $P$ with distance $O P=a=R_1-R_2$ (see figure) is made. If the electric field inside the cavity at position $\overrightarrow{\mathrm{r}}$ is $\overrightarrow{\mathrm{E}}(\overrightarrow{\mathrm{r}})$, then the correct statement(s) is(are)