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Assertion: Two waves y1 = A sin (omegat ...

Assertion: Two waves `y_1 = A sin (omegat - kx)` and y_2 = A cos(omegat-kx)` are superimposed, then `x=0` becomes a node.
Reason: At node net displacement due to waves should be zero.

A

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

B

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

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
At `x=0, y=y_1+y_2 = A sin omegat + A cos omegat.` So, it
is neither a node nor an antinode.
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