- Statement I: The radius of isoelectronic species increases as the nuclear charge decreases. So, the correct order is \( {Mg}^{2+}<{Na}^+<{F}^-<{O}^{2-} \), which is correct.
- Statement II: The magnitude of electron gain enthalpy of halogens increases as the size of the atom increases. The correct order should be \( {Cl}>{Br}>{I}>{F} \), not \( {Cl}>{F}>{Br}>{I} \). Therefore, this statement is incorrect. Thus, the correct answer is that Statement I is correct but Statement II is incorrect.