question_answer

Consider a uniform spherical charge distribution of radius \[{{R}_{1}}\] centered at the origin O. In this distribution, a spherical cavity of radius \[{{R}_{2}}\], centered at P with distance \[OP=a={{R}_{1}}-{{R}_{2}}\](see figure) is made. If the electric field inside the cavity at position \[\vec{r}\]is \[\vec{E}\overrightarrow{(r)}\], then the correct statement is

A) \[\vec{E}\] is uniform, its magnitude is independent of \[{{R}_{2}}\]but its direction depends on \[\vec{r}\]

B) \[\vec{E}\] is uniform, its magnitude depends on \[{{R}_{2}}\]and its direction depends on \[\vec{r}\]

C) \[\vec{E}\] is uniform, its magnitude depends of a but its direction depends on \[\vec{a}\]

D) \[\vec{E}\] is uniform and both its magnitude and direction depends on \[\vec{a}\]