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 analyze the statements provided in the question, we will break down each statement and evaluate its validity.

### Step-by-Step Solution:

1. **Understanding Statement I:**
- **Statement I:** "Distance and displacement are different physical quantities."
- **Analysis:**
- Distance is a scalar quantity, which means it only has magnitude and no direction. It represents the total path length traveled by an object.
- Displacement, on the other hand, is a vector quantity. It has both magnitude and direction, representing the shortest path from the initial position to the final position of an object.
- **Conclusion:** Statement I is **True**.

2. **Understanding Statement II:**
- **Statement II:** "Distance and displacement have the same dimension."
- **Analysis:**
- Both distance and displacement are measured in units of length (e.g., meters). In dimensional analysis, both can be represented with the same dimension symbol, which is [L] (length).
- **Conclusion:** Statement II is **True**.

3. **Evaluating the Relationship Between the Statements:**
- While both statements are true, Statement II does not serve as a correct explanation for Statement I. The fact that they have the same dimension does not imply they are the same type of quantity; rather, it highlights that they are both measurements of length but differ in their nature (scalar vs. vector).

4. **Final Conclusion:**
- Statement I is true, and Statement II is true, but Statement II is not the correct explanation for Statement I. Therefore, the overall evaluation leads us to conclude that the second statement is true but does not explain the first.