Consider a uniform spherical charge distribution of radius R centred at the origin O. In this distribution, a spherical cavity of radius R, centred at P with distance OP = a = R - R (see figure) is made. If the electric field inside the cavity at position is E(F), then the correct statement(s) is(are) (A) is uniform, its magnitude is independent of R but its direction depends on F (B) E is uniform, its magnitude depends on R and its direction depends on r (C) is uniform, its magnitude is independent of a but its direction depends on a (D) E is uniform and both its magnitude and direction depend on a