Step 1: Understanding the Concept:
The acidity of benzoic acid derivatives depends on the substituent groups:
- Electron Withdrawing Groups (EWG): Increase acidity (-I, -M effects).
- Electron Donating Groups (EDG): Decrease acidity (+I, +M effects).
Step 2: Analyzing Substituents:
- I. \( -\text{OCH}_3 \) (Methoxy): Shows +M effect (strong resonance donation) and -I effect. The +M effect dominates at para position. It destabilizes the carboxylate ion. Weakest acid.
- II. H (Benzoic Acid): Standard reference.
- III. \( -\text{CN} \) (Cyano): Shows -I and -M effects (Moderately strong EWG). Increases acidity.
- IV. \( -\text{NO}_2 \) (Nitro): Shows strong -I and strong -M effects (Very strong EWG). Increases acidity significantly.
Step 3: Ordering:
Acidity Order: Strong EDG < Reference < Moderate EWG < Strong EWG.
\( \text{OCH}_3 \) (I) < H (II) < CN (III) < \( \text{NO}_2 \) (IV).
Order: I < II < III < IV.
Step 4: Final Answer:
Option (C).