Step 1: Compare through the para group's electronic effect.
The para position transmits electronic effects strongly to the \(-COOH\). A group that withdraws electrons will make the O-H bond release its proton more easily.
Step 2: Effect of each group.
\(-NO_2\) withdraws electrons (both inductive and resonance) \(\Rightarrow\) most acidic. \(-OCH_3\) donates electrons by resonance \(\Rightarrow\) least acidic. Plain benzoic acid lies in between.
Step 3: Pick the strongest.
4-nitrobenzoic acid is the most acidic, option (iii).
\[\boxed{\text{Option (III)}}\]