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Assertion :In SHM to find time taken in ...

Assertion :In SHM to find time taken in moving from one point to another point we can not apply the relation
`"Time"=("Distance")/("Speed")`
Reason : In SHM speed is not constant.

A

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

B

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

C

If Assertion is true but Reason is 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 the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in Simple Harmonic Motion (SHM), we cannot use the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \) to find the time taken to move from one point to another. 2. **Understanding the Reason**: - The reason given is that in SHM, the speed of the particle is not constant. This is a key point because the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \) is valid only when the speed is constant. 3. **Analyzing Speed in SHM**: - In SHM, the speed of the particle varies as it moves. The speed \( v \) at any point in SHM can be expressed as: \[ v = \omega \sqrt{A^2 - x^2} \] where \( \omega \) is the angular frequency, \( A \) is the amplitude, and \( x \) is the displacement from the mean position. This equation shows that speed depends on the displacement \( x \), confirming that speed is not constant. 4. **Conclusion on Assertion and Reason**: - Since the assertion is true (we cannot use the formula) and the reason is also true (because speed is not constant), we conclude that both the assertion and reason are correct, and the reason provides a correct explanation for the assertion. 5. **Final Answer**: - The correct option is that both the assertion and reason are correct, and the reason is the correct explanation of the assertion.

To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that in Simple Harmonic Motion (SHM), we cannot use the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \) to find the time taken to move from one point to another. 2. **Understanding the Reason**: ...
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