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A : For a particle moving in a straight ...

A : For a particle moving in a straight line, its acceleration must be either parallel or antiparallel to velocity.
R : A body moving along a curved path may have constant acceleration.

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 solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "For a particle moving in a straight line, its acceleration must be either parallel or antiparallel to velocity." - In a straight line motion, the velocity of the particle can either increase or decrease. - If the acceleration is parallel to the velocity, the particle speeds up. - If the acceleration is antiparallel to the velocity, the particle slows down. - Therefore, for a particle to maintain straight-line motion, the acceleration must indeed be either parallel or antiparallel to the velocity. **Conclusion**: The assertion is **True**. ### Step 2: Analyze the Reason The reason states: "A body moving along a curved path may have constant acceleration." - A body moving in a curved path is constantly changing its direction. - Even if the speed (magnitude of velocity) remains constant, the direction of the velocity vector changes, which implies that there is a change in velocity. - This change in velocity indicates that there is acceleration, and since the direction of the velocity is changing, the acceleration must also change. - Therefore, it is not possible for a body moving along a curved path to have constant acceleration. **Conclusion**: The reason is **False**. ### Step 3: Combine the Conclusions - The assertion is true, and the reason is false. ### Final Answer Based on the analysis: - The correct option is **Option 3**: Assertion is true, reason is false. ---
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