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Question

# Assertion: In the equation, y=Asin(kx−ωt) , particle starts from its mean position x=0 and moves towards negative y−axis. Reason: The wave corresponding to given equation is travelling towards positive x−direction.

A
Both assertion and reason are correct and reason is the correct explanation of assertion.
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B
Both assertion and reason are correct but reason is not a correct explanation of assertion.
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C
Assertion is correct but reason is incorrect.
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D
Assertion is incorrect but reason is correct.
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Solution

## The correct option is B Both assertion and reason are correct but reason is not a correct explanation of assertion.Given, y=Asin(kx−ωt) At x=0, ⇒y=−Asinωt further putting t=0 gives y=0. This means wave motion starts from mean position towards negative y−axis. ⇒ Assertion is correct. The phase value (kx−ωt) signifies that the wave is moving towards +ve, x−axis. ⇒ Reason is correct. But, reason is not correct explanation of assertion. ∴ Option (b) is correct.

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