Step 1: Understanding allylic alcohols.
Allylic alcohols are alcohols where the hydroxyl group (-OH) is attached to a carbon that is adjacent to a double bond, i.e., the -OH group is on a carbon in an alkene.
Step 2: Analyzing the options.
(A) 2-Phenyl propane -2-ol: This compound is not an allylic alcohol because the -OH group is not adjacent to a double bond.
(B) 2-Methylbut -3-en-2-ol: This is the correct option. The -OH group is on the second carbon, which is adjacent to the double bond at position 3, making it an allylic alcohol.
(C) Propane -1, 2, 3 - triol: This is a triol, not an allylic alcohol. The -OH groups are attached to non-adjacent carbons.
(D) Propane -1, 3-diol: This compound is not an allylic alcohol because the -OH groups are on non-adjacent carbons, with no double bond involved.
Step 3: Conclusion.
The correct answer is (B) 2- Methylbut -3-en-2-ol, as it is the only allylic alcohol.