Step 1: Understanding the Concept:
Lactose is a disaccharide found in milk. Disaccharides are formed when two monosaccharides join via a glycosidic
linkage through the loss of a water molecule.
Step 2: Detailed Explanation:
1. Components: Lactose is composed of one molecule of $\beta$-D-galactose and one molecule of $\beta$-D-glucose.
2. Linkage: These units are joined by a $\beta$-1,4-glycosidic linkage. This means the glycosidic bond forms between $C_1$ of galactose and $C_4$ of glucose.
3. Since the $C_1$ of glucose (the hemiacetal carbon) is free, lactose acts as a reducing sugar.
Step 3: Final Answer:
Lactose is composed of one $\beta$-D-galactose and one $\beta$-D-glucose unit.