Step 1: Recall Hinsberg’s reagent.
Hinsberg’s reagent is benzene sulphonyl chloride (C$_6$H$_5$SO$_2$Cl). It is used to distinguish between primary, secondary, and tertiary amines.
Step 2: Reasoning.
- Primary amines react with Hinsberg’s reagent to form soluble sulphonamides.
- Secondary amines form insoluble sulphonamides.
- Tertiary amines do not react.
Step 3: Analyzing options.
- (A) Benzene sulphonic acid: Incorrect.
- (B) Benzene sulphonyl chloride: Correct.
- (C) Benzene sulphonamide: This is a product, not the reagent.
- (D) Phenyl isocyanide: Related to carbylamine test, not Hinsberg’s reagent.
Step 4: Conclusion.
Hence, Hinsberg’s reagent is benzene sulphonyl chloride.
Final Answer:
\[
\boxed{\text{(B) Benzene sulphonyl chloride}}
\]