Step 1: Understanding the Concept:
Lucas reagent is anhydrous \(\text{ZnCl}_2\) in concentrated HCl. The alcohol is converted to an alkyl chloride, which is insoluble and makes the solution turbid.
Step 2: Reactivity:
The rate depends on the stability of the carbocation formed: tertiary > secondary > primary. Tertiary alcohols give turbidity instantly, secondary in about 5 minutes, and primary only on heating.
Step 3: Options:
n-Butyl alcohol and iso-butyl alcohol are primary. sec-Butyl alcohol is secondary. tert-Butyl alcohol is tertiary, so it reacts fastest.
Final Answer:
tert-Butyl alcohol, option (D).
\[ \boxed{\text{tert-Butyl alcohol}} \]