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Assertion : The interference of two iden...

Assertion : The interference of two identical waves moving in same direction produces standing waves.
Reason : Various elements of standing waves do not remain in constant phase.

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

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The correct Answer is:
To analyze the given assertion and reason, we will break down each statement step by step. ### Step 1: Understanding the Assertion **Assertion:** The interference of two identical waves moving in the same direction produces standing waves. - **Explanation:** Standing waves are formed when two waves of the same frequency and amplitude interfere with each other. However, this typically occurs when the waves are traveling in opposite directions, not in the same direction. When two identical waves move in the same direction, they will reinforce each other and produce a resultant wave, but not a standing wave. ### Step 2: Understanding the Reason **Reason:** Various elements of standing waves do not remain in constant phase. - **Explanation:** In a standing wave, different points (or elements) along the wave are indeed in constant phase. For example, the nodes (points of no displacement) and antinodes (points of maximum displacement) are fixed in space and oscillate in a synchronized manner. Therefore, this statement is incorrect. ### Step 3: Conclusion - Both the assertion and the reason are incorrect. The assertion is false because standing waves are produced by the interference of waves moving in opposite directions, not the same direction. The reason is also false because elements of standing waves remain in constant phase. ### Final Answer: Both the assertion and the reason are incorrect. ---
To analyze the given assertion and reason, we will break down each statement step by step. ### Step 1: Understanding the Assertion **Assertion:** The interference of two identical waves moving in the same direction produces standing waves. - **Explanation:** Standing waves are formed when two waves of the same frequency and amplitude interfere with each other. However, this typically occurs when the waves are traveling in opposite directions, not in the same direction. When two identical waves move in the same direction, they will reinforce each other and produce a resultant wave, but not a standing wave. ### Step 2: Understanding the Reason ...
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