Correct option is (c) Tertiary
The Lucas reagent is a solution of concentrated hydrochloric acid (HCl) in anhydrous zinc chloride (ZnCl2) and is used to test the reactivity of alcohols. It's particularly useful for distinguishing between primary, secondary, and tertiary alcohols based on their reaction rates.
In this test, tertiary alcohols react the fastest with the Lucas reagent, while primary alcohols react the slowest. Therefore, among the isomeric alcohols listed:
(c) Tertiary alcohols will produce turbidity (cloudiness) first with the Lucas reagent, indicating a faster reaction.
The reaction occurs because the Lucas reagent converts the alcohol into an alkyl chloride, and the rate of this conversion is fastest for tertiary alcohols due to the ease of carbocation formation in the reaction mechanism.