- Statement I: Correct. The radius of isoelectronic species decreases with increasing nuclear charge, as seen in the order \( \text{Mg}^{2+} < \text{Na}^{+} < \text{F}^{-} < \text{O}^{2-} \).
- Statement II: Incorrect. The electron gain enthalpy generally increases as we move down the halogen group, i.e., \( \text{I} > \text{Br} > \text{Cl} > \text{F} \), due to increased atomic size and shielding.
Thus, Statement I is correct, but Statement II is incorrect.