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

$$\overrightarrow{E}$$ is uniform, its magnitude is independentof $$R_2$$ but its direction depends on $$\overrightarrow{r}$$

$$\overrightarrow{E}$$ is uniform, its magnitude depends on $$R_2$$ and its direction depends on $$\overrightarrow{r}$$

$$\overrightarrow{E}$$ is uniform, its magnitude is independentof a but its direction depends on $$\overrightarrow{a}$$

$$\overrightarrow{E}$$ is uniform and both its magnitude and direction depend on $$\overrightarrow{a}$$