Concept:
Grignard reagents react with carbon dioxide to form magnesium salts of carboxylic acids, which on acidic hydrolysis give carboxylic acids.
ip
Step 1: Identify dry ice.
Dry ice is solid carbon dioxide:
\[
\text{CO}_2
\]
ip
Step 2: React \(\text{CH}_3\text{MgBr}\) with \(\text{CO}_2\).
Methyl magnesium bromide reacts with carbon dioxide to give the magnesium salt of acetic acid.
Intermediate \(A\) is:
\[
\text{CH}_3\text{COOMgBr}
\]
ip
Step 3: Hydrolyse the intermediate.
On treatment with \(\text{H}_3\text{O}^+\), the magnesium salt gives:
\[
\text{CH}_3\text{COOH}
\]
which is ethanoic acid.
ip
Hence, the correct answer is:
\[
\boxed{(B)\ \text{Ethanoic acid}}
\]