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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 (see figure) is made. If the electric field inside the cavity at position r G is E G ( r G ), then the correct statement (s) is (are) R 1 O a P R 2

1. E G is uniform, its magnitude is independent of R 2 but its direction depends on r G
2. E G is uniform, its magnitude depends on R 2 and its direction depends on r G
3. E G is uniform, its magnitude is independent of a but its direction depends on a G
4. E G is uniform and both its magnitude and direction depend on a G

Correct answer: E G is uniform and both its magnitude and direction depend on a G

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