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)` (fig) is made.If the electric field inside the cavity at position `vec(r )`, then the correct statement is

Options

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 is independent of a but its direction depends on `vec(a)`
D. `vec(E)` uniform, and both its magnitude and direction depends on `vec(a)`

Answer

D