Assertion: The distance and displacment both are equal when the particle moves in a straight line.
Reason: In straight line motion distance travelled= Idisplacement I.

Options

A. a.If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. b.If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. c.If Assertion is Trie but the Reason is False.
D. d.If both Assertion `&` Reason are false

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step-by-Step Solution:

**Step 1: Understand the Assertion**
- The assertion states that "The distance and displacement both are equal when the particle moves in a straight line."
- Distance is defined as the total path length traveled by an object, while displacement is defined as the shortest straight line distance from the initial position to the final position.

**Step 2: Analyze the Reason**
- The reason states that "In straight line motion, distance traveled = |displacement|."
- This means that while moving in a straight line, the distance traveled can be equal to the magnitude of displacement, but it does not necessarily imply they are equal in all cases.

**Step 3: Consider Examples**
- **Example 1:** A particle moves from point A to point B in a straight line. If the distance covered is \( x \), then:
- Distance = \( x \)
- Displacement = \( x \)
- Here, distance = displacement.

- **Example 2:** A particle moves from point A to point B and then returns back to A. The distance covered is:
- Distance = \( x + x = 2x \)
- Displacement = \( 0 \) (since the initial and final positions are the same).
- Here, distance ≠ displacement.

**Step 4: Conclusion**
- From the examples, we see that while the distance can equal the displacement in certain cases (like moving directly from A to B), it is not always true (like moving from A to B and back to A).
- Therefore, the assertion is false, and the reason is also false.

**Final Answer:**
Both the assertion and the reason are false.