Step 1: Understanding the Concept:
The Lucas test is a chemical test used to differentiate among primary, secondary, and tertiary alcohols. It is based on the difference in reactivity of these alcohols with hydrogen halides via an $S_N1$ mechanism.
Step 2: Detailed Explanation:
1. The Reagent: Lucas reagent consists of a solution of anhydrous zinc chloride ($ZnCl_2$) in concentrated hydrochloric acid ($HCl$).
2. The Reaction: Alcohols are converted to alkyl chlorides. Since alkyl chlorides are insoluble in the reagent, they form a cloudy turbidity or separate layer.
3. Reactivity:
- Tertiary alcohols: React immediately, showing turbidity instantly.
- Secondary alcohols: React within 5–10 minutes.
- Primary alcohols: Do not react at room temperature (turbidity only appears upon heating).
4. Other Options: (C) is Lindlar's catalyst, and (D) is Tollen's reagent.
Step 3: Final Answer
Lucas reagent is a mixture of Conc. HCl and anhydrous ZnCl₂.