Statement I: Distance and displacement are different physical quantities.
Statement II : Distance and displacement have same dismension.

Options

A. Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.
B. Statemnt I is true, Statement II is true, Statement II is true, Statement II is false.
C. Statement I is true, Statement II is false.
D. Statement I is false, Statement II is true.

Explanation

To solve the given question, we need to analyze the two statements provided:

**Statement I:** Distance and displacement are different physical quantities.
**Statement II:** Distance and displacement have the same dimension.

### Step-by-Step Solution:

1. **Understanding Distance and Displacement:**
- Distance is defined as the total length of the path traveled by an object, regardless of its direction. It is a scalar quantity, meaning it has only magnitude and no direction.
- Displacement, on the other hand, is defined as the shortest distance from the initial position to the final position of an object. It is a vector quantity, meaning it has both magnitude and direction.

2. **Evaluating Statement I:**
- Since distance is a scalar quantity and displacement is a vector quantity, they are indeed different physical quantities. Therefore, **Statement I is true**.

3. **Evaluating Statement II:**
- Both distance and displacement are measured in units of length (e.g., meters). Hence, they share the same dimension, which is [L] (length). Therefore, **Statement II is also true**.

4. **Analyzing the Relationship Between the Statements:**
- While both statements are true, Statement II does not provide a correct explanation for Statement I. Statement I is about the nature of the quantities (scalar vs. vector), while Statement II only discusses their dimensions.

5. **Conclusion:**
- Both statements are true, but Statement II is not the correct explanation for Statement I. Therefore, the correct answer is that both statements are true, but Statement II does not explain Statement I.

### Final Answer:
Both statements are true, but Statement II is not the correct explanation for Statement I.