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Assertion : Path of a particle in SHM is...

Assertion : Path of a particle in SHM is always a straight line.
Reason : All straight line motions are not simple harmonic.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided in the question, we will break down each part step by step. ### Step 1: Understanding the Assertion The assertion states that the path of a particle in Simple Harmonic Motion (SHM) is always a straight line. **Evaluation**: This statement is incorrect. While some SHM can occur along a straight line (like a mass on a spring moving back and forth), many systems exhibit SHM in a circular path, such as a pendulum swinging back and forth. The motion of a pendulum is a classic example of SHM that does not follow a straight line. ### Step 2: Understanding the Reason The reason states that all straight line motions are not simple harmonic. **Evaluation**: This statement is correct. For example, a car moving in a straight line at constant speed is not undergoing periodic motion, and thus it does not qualify as SHM. SHM requires a restoring force that is proportional to the displacement from the equilibrium position, which is not the case for all straight-line motions. ### Step 3: Conclusion Based on the evaluations: - The assertion is **incorrect** because SHM does not always follow a straight line. - The reason is **correct** because not all straight-line motions are periodic or simple harmonic. Thus, we conclude that the assertion is incorrect while the reason is correct. ### Final Answer Assertion: Incorrect Reason: Correct

To analyze the assertion and reason provided in the question, we will break down each part step by step. ### Step 1: Understanding the Assertion The assertion states that the path of a particle in Simple Harmonic Motion (SHM) is always a straight line. **Evaluation**: This statement is incorrect. While some SHM can occur along a straight line (like a mass on a spring moving back and forth), many systems exhibit SHM in a circular path, such as a pendulum swinging back and forth. The motion of a pendulum is a classic example of SHM that does not follow a straight line. ### Step 2: Understanding the Reason ...
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