Step 1: Analyze compound A.
Compound A is an amine (C\(_5\)H\(_9\)N). The reaction with Na/Hg/C\(_2\)H\(_5\)OH is characteristic of a reduction reaction, which suggests that A is an amide or a nitrile group, reduced to an amine group. The product formed in this step, B, is most likely an amine.
Step 2: Analyze the reaction of B with NaNO\(_2\)/HCl.
When B reacts with NaNO\(_2\) and HCl at 274 K, it liberates N\(_2\) gas. This reaction is typical of a primary aromatic amine undergoing diazotization, leading to the formation of a diazonium salt.
Step 3: Analyze the reaction of B with Hinsberg's reagent.
B also reacts with Hinsberg's reagent, which is used to test for primary, secondary, and tertiary amines. A primary amine reacts with Hinsberg’s reagent to form a soluble product in alkali. This confirms that compound B is a primary amine.
Step 4: Identify compound B.
Given the reactions described, compound B must be a primary amine. The correct structure matching all the reactions is CH\(_3\) - NH\(_2\), which is methylamine.
Step 5: Conclusion.
Thus, compound B is CH\(_3\) - NH\(_2\), and the correct answer is option (C).