To identify the correct statement about the reactions, we need to analyze the oxidation and reduction processes in each reaction.
Reaction I:
\[
H_2O(l) + 2Na(s) \rightarrow 2NaOH(aq) + H_2(g)
\]
Oxidation: Sodium (\(Na\)) is oxidized from \(0\) to \(+1\).
Reduction: Water (\(H_2O\)) is reduced. The hydrogen in \(H_2O\) goes from \(+1\) to \(0\) in \(H_2\).
Thus, in Reaction I, water is reduced.
Reaction II:
\[
2H_2O(l) + 2F_2(g) \rightarrow 4H^+(aq) + 4F^-(aq) + O_2(g)
\]
Oxidation: Water (\(H_2O\)) is oxidized. The oxygen in \(H_2O\) goes from \(-2\) to \(0\) in \(O_2\).
Reduction: Fluorine (\(F_2\)) is reduced from \(0\) to \(-1\).
Thus, in Reaction II, water is oxidized.
Correct Statement:
In Reaction I, water is reduced.
In Reaction II, water is oxidized.
The correct option is:
\[
\boxed{\text{(3) In reaction I water is reduced and in reaction II water is oxidized.}}
\]