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Let the two waves y(1) = A sin ( kx - om...

Let the two waves `y_(1) = A sin ( kx - omega t)` and `y_(2) = A sin ( kx + omega t)` from a standing wave on a string . Now if an additional phase difference of `phi` is created between two waves , then

A

the standing wave will have a different frequency

B

the standing wave will have a different amplitude for a given point

C

the spacing between two consecutives nodes will change

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Initially the standing wave equation is
` y = 2 A sin kx cos omega t`
If phase difference `phi` is added to one of waves , then resulting standing wave equation is
` y = 2 A ( kx + (phi)/(2)) cos ( omega t - (phi)/( 2))`
Here, frequency does not change and also spacing between two successive nodes not change as its value for both is `pi//k`. But for a particle , in standing wave , amplitude changes.
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