Step 1: Understanding the Concept:
Hinsberg's test separates primary, secondary and tertiary amines. It uses a sulphonyl chloride that reacts with the N-H bonds.
Step 2: Reagent:
Hinsberg's reagent is benzene sulphonyl chloride, \(C_6H_5SO_2Cl\). A primary amine forms a sulphonamide that dissolves in alkali. A secondary amine forms a sulphonamide that does not dissolve. A tertiary amine does not react.
Step 3: Check the options:
Benzene sulphonic acid has no leaving Cl. p-Toluene sulphonyl chloride is tosyl chloride, a different reagent. Chlorosulphuric acid is not used for this test. So the answer is (B).
Final Answer:
Hinsberg's reagent is benzene sulphonyl chloride.
\[ \boxed{B:\ \text{Benzene sulphonyl chloride}} \]