Step 1: Identify Product P:
Reaction of Ethylene with cold, dilute alkaline \(\text{KMnO}_4\) (Baeyer's Reagent) leads to syn-hydroxylation.
\(\text{CH}_2=\text{CH}_2 + \text{H}_2\text{O} + [\text{O}] \rightarrow \text{HO-CH}_2\text{-CH}_2\text{-OH}\).
Product P is Ethylene Glycol.
Step 2: Identify Monomers of Dacron:
Dacron (Terylene) is a polyester formed by the condensation polymerization of:
1. Ethylene Glycol (Ethane-1,2-diol).
2. Terephthalic Acid (Benzene-1,4-dicarboxylic acid).
Step 3: Analyze Options:
- (A) Benzoic acid: Monocarboxylic acid.
- (B) Terephthalic acid: 1,4-dicarboxylic acid (Para isomer). This matches.
- (C) Phthalic acid: 1,2-dicarboxylic acid (Ortho isomer). Used for Glyptal.
- (D) p-Hydroxybenzoic acid.
Final Answer:
Option (B).