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Given noticeable points, about the amplitude of resultant waves of two harmonic progressive waves on stretached string. |
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Answer» Solution :The amplitude of RESULTANT wave is a function of phase difference `phi` between TWO element waves. `A (phi) =2 a cos "" (phi)/(2)` When two waves have same phase, then `phi =0 ` HENCE,` y (x,t) =2a sin (KX - omega t )` Relultant amplitude is `A = 2a. `It is maximum amplitude. If `phi =PI` the two waves are completely out of phase, the amplitude of the resultant wave reduces to zero. `therefore (x ,t)= 0 [because A (phi) = 2 cos "" (phi)/(2) = 2 a cos "" (pi)/(2) =0]` |
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