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A : If speed of a particle is never zero...

A : If speed of a particle is never zero than it may have zero averag speed.
R : The average speed of a moving object in a closed path is zero.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statement, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we need to break down the assertion (A) and the reason (R) provided in the question. ### Step 1: Understanding Assertion (A) The assertion states: "If the speed of a particle is never zero, then it may have zero average speed." - Average speed is defined as the total distance traveled divided by the total time taken. - If the speed of a particle is never zero, it implies that the particle is always moving and covering some distance. - Therefore, if the particle is always moving, the distance traveled cannot be zero, which means the average speed cannot be zero. **Conclusion for Assertion (A)**: The assertion is **false** because if the speed is never zero, the average speed cannot be zero. ### Step 2: Understanding Reason (R) The reason states: "The average speed of a moving object in a closed path is zero." - A closed path means that the object returns to its starting point. - While the displacement (the shortest distance from the initial to the final position) is zero in a closed path, the distance traveled is not zero. - The average speed is calculated based on the total distance traveled, not displacement. Hence, the average speed cannot be zero if the object has traveled a distance. **Conclusion for Reason (R)**: The reason is also **false** because the average speed of an object in a closed path is not zero; it is based on the total distance traveled. ### Final Conclusion Both the assertion (A) and the reason (R) are false. Therefore, the correct answer is that both statements are incorrect. ---
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