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Assertion: Displacement of a body may be...

Assertion: Displacement of a body may be zero when distance travelled by it is not zero.
Reason: The displacement is the longest distance between initial and final position.

A

If both the Asseration and Reason are true and reason explains the Assertion :

B

If both the Assertion and Reason are true but reason does ot explain the Assertion :

C

If Assertion is true but reason false

D

If Assertion is false but reason is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Displacement of a body may be zero when distance travelled by it is not zero." - **Displacement** is defined as the shortest distance from the initial position to the final position of an object, along with a direction. - **Distance** is the total length of the path traveled by the object, irrespective of the direction. **Example**: If a person walks in a circle and returns to the starting point, the distance traveled is the circumference of the circle, but the displacement is zero because the initial and final positions are the same. ### Step 2: Understand the Reason The reason given is "The displacement is the longest distance between initial and final position." This statement is incorrect. Displacement is actually the shortest distance between the initial and final positions, not the longest. ### Step 3: Analyze the Truth of Assertion and Reason - The assertion is **true** because displacement can indeed be zero while the distance traveled is not zero (as explained in the example). - The reason is **false** because it incorrectly describes displacement as the longest distance. ### Conclusion Thus, we conclude: - The assertion is true. - The reason is false. ### Final Answer The correct option is that the assertion is true, but the reason is false. ---
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