STATEMENT - 1 : Distance travelled by a particle moving rectilinearly may not be equal to magnitude of displacement of the particle.
and
STATEMENT - 2 : Distance travelled is a scalar but displacement is a vector.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-2
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-2
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the given problem, we need to analyze the two statements provided and determine their validity and relationship.

### Step-by-Step Solution:

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

2. **Evaluating Statement 1:**
- The first statement claims that "Distance travelled by a particle moving rectilinearly may not be equal to the magnitude of displacement of the particle."
- This statement is true. For example, if a particle moves from point A to point B and then returns to point C, the distance traveled is the total length of the path (AB + BC), while the displacement is the straight-line distance from point A to point C. In this case, the distance traveled is greater than the magnitude of displacement.

3. **Evaluating Statement 2:**
- The second statement claims that "Distance travelled is a scalar but displacement is a vector."
- This statement is also true. As previously mentioned, distance is a scalar quantity and displacement is a vector quantity.

4. **Determining the Relationship Between the Statements:**
- Both statements are true, but we need to check if Statement 2 is the correct explanation for Statement 1.
- While both statements are true, the fact that distance is a scalar and displacement is a vector does not directly explain why distance may not equal displacement. The relationship between distance and displacement is based on the path taken, not solely on their scalar and vector nature.

5. **Conclusion:**
- Since both statements are true but Statement 2 does not provide a correct explanation for Statement 1, the correct answer is that both statements are true, but Statement 2 is not the correct explanation of Statement 1.

### Final Answer:
The correct option is **B**: Both statements are true, but Statement 2 is not the correct explanation of Statement 1.