Step 1: Understanding epimers and diastereomers.
- Epimers are sugars that differ in configuration at only one chiral center.
- Diastereomers are stereoisomers that are not mirror images of each other.
Step 2: Analyzing the options.
- (A) D-mannose is C-4 epimer of D-glucose: This is incorrect because D-mannose is actually a C-2 epimer of D-glucose.
- (B) D-galactose is C-2 epimer of D-glucose: This is correct. D-galactose differs from D-glucose only at the C-4 position, making them C-2 epimers.
- (C) D-glucose and L-glucose are diastereomers: This is true. D-glucose and L-glucose are non-mirror image stereoisomers (diastereomers).
- (D) D-glucose and D-galactose are diastereomers: This is correct. D-glucose and D-galactose are diastereomers as they differ in the configuration at one or more chiral centers.
Step 3: Conclusion.
The correct answer is (D) because D-glucose and D-galactose are diastereomers, differing at one chiral center (C-4).