The Lucas test distinguishes primary, secondary and tertiary alcohols by the rate at which they form an insoluble chloroalkane with concentrated HCl and anhydrous ZnCl2, a reaction that proceeds through an SN1 pathway. Because the rate-determining step is carbocation formation, the alcohol that generates the most stable cation reacts fastest. 2-methyl-2-propanol is tertiary, so it forms a tertiary carbocation stabilised by three alkyl groups through hyperconjugation and induction, and therefore gives immediate turbidity. 2-butanol is secondary and reacts in about five minutes, while 1-butanol is primary and shows essentially no reaction at room temperature because a primary carbocation is too unstable. Hence the statement that all three react at the same rate is wrong, and 1-butanol and 2-butanol are eliminated by their slower SN1 rates. This is the standard NCERT classification reaction for alcohols and a recurring JEE identification problem. As a plausibility check, the reactivity order tertiary > secondary > primary mirrors carbocation stability, confirming the chosen answer.