Step 1: Understanding the Concept:
The Lucas test is used to differentiate between \(1^{\circ}, 2^{\circ},\) and \(3^{\circ}\) alcohols. It works on the principle of the formation of alkyl chlorides, which are insoluble in the reagent and cause turbidity.
Detailed Explanation:
Statement I: Lucas reagent is indeed a mixture of concentrated \(HCl\) and anhydrous \(ZnCl_{2}\). It reacts with alcohols to form alkyl halides. This statement is correct.
Statement II: The reactivity of alcohols towards Lucas reagent follows the order: \(3^{\circ}>2^{\circ}>1^{\circ}\).
- Tertiary alcohols produce turbidity immediately.
- Secondary alcohols produce turbidity in 5 minutes.
- Primary alcohols do not produce turbidity at room temperature (only on heating).
Therefore, Statement II is incorrect.
Step 2: Final Answer:
Statement I is correct, and Statement II is incorrect. Option (3) is correct.