Step 1: Concept
Propranolol is a non-selective beta-blocker used for heart conditions and anxiety.
Step 2: Meaning
Its chemical name is derived from the naphthyloxy group and the isopropylamino side chain.
Step 3: Analysis
The structure consists of a naphthalene ring linked to a propan-2-ol chain, which is further substituted with an isopropyl group (1-methylethyl) on the amine.
Step 4: Conclusion
Option B accurately reflects the IUPAC-style name including the "1-methylethylamino" (isopropyl) substituent.
Final Answer: (B)