
To identify compound \( A \) with the molecular formula \( \text{C}_9\text{H}_{11}\text{NO} \), let's go through the reactions step-by-step:
Compound \( A \) reacts with \( \text{Br}_2/\text{NaOH} \) to give compound \( X \). This reaction is characteristic of primary amides or amines undergoing the Hofmann bromamide degradation, which converts them into amines with one carbon atom less.
The amine \( X \) is then reacted with \( \text{NaNO}_2 \) in dilute HCl to give compound \( Y \). This corresponds to the diazotization reaction where primary aromatic amines form diazonium salts.
When compound \( Y \) is treated with \( \text{CuCN} \), it leads to the formation of a cyano compound which, upon hydrolysis, gives compound \( Z \). Hydrolysis of a nitrile leads to an acid, implying that \( Z \) is a carboxylic acid.
Furthermore, it is given that compound \( A \) on hydrolysis directly gives compound \( Z \), suggesting that \( A \) might initially be an amide which upon hydrolysis directly forms the corresponding carboxylic acid.
Considering these reactions, a suitable candidate for \( A \) is an aromatic amide with the formula for benzamide derivatives. The correct option showing this structure is:
The correct structure of compound \( A \) is option 1.
