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STATEMENT-1 : Any oscillatory motion can...

STATEMENT-1 : Any oscillatory motion cannot be treated as simple harmonic.
STATEMENT-2 : Even under larger amplitude restoring force should be proportional to displacement for being classified as `SHM`.

A

Statement-1 is True, Statement-2 is True , Statement-2 is a corrrect explanation for Statement-1

B

Statement-1 is True, Statement-2 is True , Statement-2 is NOT a corrrect explanation for Statement-1

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we will break down the concepts of oscillatory motion and simple harmonic motion (SHM). ### Step 1: Understanding Statement 1 **Statement 1:** Any oscillatory motion cannot be treated as simple harmonic. - **Explanation:** This statement is true. Not all oscillatory motions qualify as simple harmonic motion. For a motion to be classified as SHM, it must satisfy specific criteria, particularly that the restoring force acting on the object must be directly proportional to the negative of its displacement from the equilibrium position. ### Step 2: Understanding Statement 2 **Statement 2:** Even under larger amplitude, the restoring force should be proportional to displacement for being classified as SHM. - **Explanation:** This statement is also true. For a motion to be classified as SHM, the restoring force must always be proportional to the displacement from the equilibrium position, regardless of the amplitude of the oscillation. This means that even if the amplitude is large, the relationship between the restoring force and displacement must still hold true (F = -kx, where k is a constant). ### Step 3: Conclusion - Both statements are true. However, Statement 2 does not provide a correct explanation for Statement 1. While Statement 1 correctly asserts that not all oscillatory motions are SHM, Statement 2 simply reiterates a condition for SHM without explaining why some oscillatory motions do not qualify as SHM. ### Final Answer: - **Statement 1 is true.** - **Statement 2 is true but does not explain Statement 1.**
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