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Statement-1: On reflection from a rigid ...

Statement-1`:` On reflection from a rigid boudnary (denser medium ), there is a complete reversal of phase
Statement-2`:` This is because on reflection is a denser medium, both the particle velocity and wave velocity are reversed in sign.

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 the two statements provided and determine their validity based on the principles of wave behavior at a rigid boundary. ### Step-by-Step Solution: 1. **Understanding Reflection at a Rigid Boundary**: - When a wave traveling in a medium reaches a rigid boundary (denser medium), it reflects back. The nature of this reflection is crucial to understanding the phase change. - At a rigid boundary, if a crest of a wave hits the boundary, it reflects back as a trough. This indicates a complete reversal of phase. 2. **Analyzing Statement 1**: - Statement 1 claims that "on reflection from a rigid boundary (denser medium), there is a complete reversal of phase." - This is true because the incident wave (crest) and the reflected wave (trough) are 180 degrees out of phase, which corresponds to a phase change of π (or complete reversal). 3. **Analyzing Statement 2**: - Statement 2 states that "this is because on reflection in a denser medium, both the particle velocity and wave velocity are reversed in sign." - When a wave reflects off a rigid boundary, the direction of the wave changes. The particle velocity, which is related to the displacement of particles in the medium, also reverses direction. - The wave velocity (the speed and direction of the wave) also changes direction upon reflection. This means both the particle velocity and wave velocity are indeed reversed in sign. 4. **Conclusion**: - Both statements are true. Statement 1 is correct because there is a complete reversal of phase upon reflection. Statement 2 correctly explains why this occurs, as both the particle velocity and wave velocity change direction. - Therefore, the correct conclusion is that both assertion and reason are true, and the reason is the correct explanation of the assertion. ### Final Answer: Both Statement 1 and Statement 2 are true, and Statement 2 correctly explains Statement 1. ---
To solve the question, we need to analyze the two statements provided and determine their validity based on the principles of wave behavior at a rigid boundary. ### Step-by-Step Solution: 1. **Understanding Reflection at a Rigid Boundary**: - When a wave traveling in a medium reaches a rigid boundary (denser medium), it reflects back. The nature of this reflection is crucial to understanding the phase change. - At a rigid boundary, if a crest of a wave hits the boundary, it reflects back as a trough. This indicates a complete reversal of phase. ...
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