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Assertion: In a string wave, during refl...

Assertion: In a string wave, during reflection from fix boundary, the reflected wave is inverted.
Reason: The force on string by clamp is in downward direction while string is pulling the clamp is upward direction.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason given. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "In a string wave, during reflection from a fixed boundary, the reflected wave is inverted." - This is a well-known phenomenon in wave mechanics. When a wave traveling along a string reaches a fixed boundary, it reflects back and undergoes a phase change of 180 degrees (or π radians), which results in the wave being inverted. 2. **Understanding the Reason**: - The reason provided is that "The force on the string by the clamp is in the downward direction while the string is pulling the clamp in the upward direction." - This statement describes the forces acting on the string at the fixed boundary (the clamp). The clamp exerts a downward force on the string, while the tension in the string pulls upward on the clamp. This opposing action leads to the inversion of the wave upon reflection. 3. **Linking the Assertion and Reason**: - The reason explains why the assertion is true. The downward force from the clamp creates a situation where the wave reflects with inversion. Thus, the inversion of the wave is a direct consequence of the forces acting at the fixed boundary. 4. **Conclusion**: - Both the assertion and the reason are correct, and the reason provides a correct explanation for the assertion. ### Final Answer: - Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
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