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Two waves represented by y=a" "sin(omega...

Two waves represented by `y=a" "sin(omegat-kx) and y=a" " sin(omegat-kx+(2pi)/(3))` are superposed. What will be the amplitude of the resultant wave?

Text Solution

Verified by Experts

The two waves have the same amplitude and a constant phase difference of `(2pi)/(3)`
Therefore, resultant amplitude is given by
`R=2s" cos"(phi)/(2)`
`impliesR=2a" cos"((2pi)/(6))`
`=2s" "cos60^(@)`
`=a`
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