For tripositive ions of lanthanides, the ionic radius decreases with increasing atomic number because the electrons are being removed from the 4f orbitals, which have poor shielding. Gd\(^{3+}\), being closer to the middle of the lanthanide series, has the smallest size.
Thus, the correct answer is (E).
Kepler's second law (law of areas) of planetary motion leads to law of conservation of