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The stationary wavey = 2a sin kx cos ome...

The stationary wave`y = 2a sin kx cos omega t` in a closed organ pipe is the result of the superposition of `y = a sin (omega t - kx)`

A

`y_(2)=-acos(omegat+kx)`

B

`y_(2)=-asin(omegat-kx)`

C

`y_(2)=asin(omegat-kx)`

D

`y_(2)=acos(omegat+kx)`

Text Solution

Verified by Experts

The correct Answer is:
A

According to superposition principle,
`y=y_(1)+y_(2)=asin(omegat+kx)-asin(omegat-kx)`
`y=2asinkxcosomegat`
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