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Given noticeable points, about the amplitude of resultant waves of two harmonic progressive waves on stretached string. |
Answer» <html><body><p></p>Solution :The amplitude of <a href="https://interviewquestions.tuteehub.com/tag/resultant-1187362" style="font-weight:bold;" target="_blank" title="Click to know more about RESULTANT">RESULTANT</a> wave is a function of phase difference `phi` between <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> element waves. <br/> `A (phi) =2 a cos "" (phi)/(2)` <br/> When two waves have same phase, then `phi =0 ` <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>,` y (x,t) =2a sin (<a href="https://interviewquestions.tuteehub.com/tag/kx-1064991" style="font-weight:bold;" target="_blank" title="Click to know more about KX">KX</a> - omega t )` <br/> Relultant amplitude is `A = 2a. `It is maximum amplitude.<br/> If `phi =<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>` the two waves are completely out of phase, the amplitude of the resultant wave reduces to zero. <br/> `therefore (x ,t)= 0 [because A (phi) = 2 cos "" (phi)/(2) = 2 a cos "" (pi)/(2) =0]`</body></html> | |