Which of the following pair is (are) correctly matched

Options

A. `alpha-D(+)` glucose and `beta-D(+)` glucose `rarr C-2` epimers
B. Glucose and fructose `rarr C-3` epimers
C. Glucose `rarr` mutarotation
D. Sucrose `rarr` Glucose `+` fructose

Explanation

To solve the question "Which of the following pair is (are) correctly matched?", we will analyze each option provided in the question.

### Step-by-Step Solution:

1. **Analyze Option A: Alpha D Glucose and Beta D Glucose are C2 Epimers**
- **Explanation**: This statement is incorrect. Alpha D glucose and Beta D glucose are not C2 epimers; they are actually C1 epimers. The difference between alpha and beta forms of glucose is due to the configuration at the anomeric carbon (C1), not C2. Therefore, this option is false.

2. **Analyze Option B: Glucose and Fructose are C3 Epimers**
- **Explanation**: This statement is also incorrect. Glucose is an aldohexose (an aldose sugar), while fructose is a ketohexose (a ketose sugar). Since they differ in the functional group (aldehyde vs. ketone) and their carbon skeletons, they cannot be classified as epimers. Therefore, this option is false.

3. **Analyze Option C: Glucose Shows Mutarotation**
- **Explanation**: This statement is correct. Mutarotation refers to the change in optical rotation that occurs when an optically active compound is dissolved in solution and interconverts between different anomeric forms. Glucose can exist in both alpha and beta forms, and it can also exist in an open-chain form. The equilibrium between these forms leads to a change in the specific rotation over time, confirming that glucose does indeed exhibit mutarotation.

4. **Analyze Option D: Sucrose Gives Glucose Plus Fructose on Hydrolysis**
- **Explanation**: This statement is correct. Sucrose is a disaccharide composed of one glucose unit and one fructose unit. When hydrolyzed, sucrose breaks down into these two monosaccharides. Therefore, this option is true.

### Conclusion:
Based on the analysis, the correct pairs are:
- Option C: Glucose shows mutarotation (True)
- Option D: Sucrose gives glucose plus fructose on hydrolysis (True)

Thus, the correct answer to the question is that options C and D are correctly matched.