Statement I: Oxygen, as the first member of group 16, primarily exhibits an oxidation state of \(-2\) due to its high electronegativity and small size, which favors electron gain rather than loss. However, it can also exist in oxidation states other than \(-2\), such as 0 in molecular oxygen (\(O_2\)), and \(+1\) or \(+2\) in compounds like \(OF_2\) and \(O_2F_2\). Therefore, the statement that oxygen exhibits only a \(-2\) oxidation state is incorrect.
Statement II: In group 16 elements, moving down the group from oxygen to polonium, there is an observed increase in the stability of the \(+4\) oxidation state, while the stability of the \(+6\) oxidation state decreases. This trend is attributed to the inert pair effect, where the tendency of the \(s\)-electrons to remain unpaired increases in heavier elements, making higher oxidation states less stable. Thus, elements like tellurium and polonium prefer to exhibit the \(+4\) oxidation state rather than \(+6\). Hence, the statement that the stability of the \(+4\) oxidation state decreases down the group is also incorrect.
The Correct answer is: Both Statement I and Statement II are incorrect