Step 1: Compare structures.
- Polyurethane: Contains urethane linkages (–NH–CO–O–). These groups allow hydrogen bonding but the presence of –O– linkages increases flexibility. Hence, rigidity is lower.
- Polyamide 6 (Nylon-6): Contains amide linkages (–NH–CO–) in a highly regular and linear structure. The –CONH– groups strongly hydrogen bond with adjacent chains, giving high chain rigidity.
Step 2: Effect on melting point.
- High molecular rigidity and strong intermolecular hydrogen bonding increase crystallinity and thus the melting point.
- Therefore, Nylon-6 has a higher melting point than Polyurethane.
Step 3: Eliminate incorrect options.
- (B) Higher degree of branching → branching usually lowers melting point.
- (C) Lower molecular rigidity → contradicts the fact.
- (D) Lower degree of crosslinking → irrelevant, since both are thermoplastics.
Final Answer:
\[
\boxed{\text{(A) Higher molecular rigidity}}
\]