Consider a unifrom spherical charge distribution on 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)` ( see figure ) is made. If the electric field inside the cavity at position `vec(r)` is `vec(E) (vec(r))`, then the correct statement(s) is (are):

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