Alcohol Phenols And Ethers

Compounds \(\mathrm{A}\) and \(\mathrm{B}\), having the same molecular formula \((\mathrm{C}_4 \mathrm{H}_8 \mathrm{O})\), react separately with \(\mathrm{CH}_3 \mathrm{MgBr}\), followed by reaction with dil. \(\mathrm{HCl}\) to form compounds \(\mathrm{X}\) and \(\mathrm{Y}\) respectively. Compound \(\mathrm{Y}\) undergoes acidic dehydration in presence of Conc. \(\mathrm{H}_2 \mathrm{SO}_4\) much more readily than \(\mathrm{X}\). Compound \(\mathrm{Y}\) also reacts with Lucas reagent, much more readily than \(\mathrm{X}\), with appearance of turbidity. Identify \(\mathrm{X}\) and \(\mathrm{Y}\).