Consider a uniform spherical charge distribution
of radius R₁ centred at the origin O. In this
distribution, a spherical cavity of radius R₂,
centred at P with distance OP = a = R₁ – R₂ (see
figure) is made. If the electric field inside the
cavity at position →r is →E(→r), then the correct statement(s) is(are)
(A)→E is uniform, its magnitude is independent of R2 but its direction depends on →r
(B)→E is uniform, its magnitude depends on R2 and its direction depends on →r
(C)→E 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
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