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  • Which of the following travelling wave will produce standing wave, with node at x = 0, when superimposed on <img alt="y = A\sin (\omega t +kx)" src="/latex-image/?y%20%3D%20A%5Csin%20%28%5Come

Which of the following travelling wave will produce standing wave, with node at x = 0, when superimposed on y = A\sin (\omega t +kx)

Option: 1

A\sin (\omega t -kx)


Option: 2

A\sin (\omega t -kx+\pi)


Option: 3

A \cos (\omega t +kx)


Option: 4

A \cos (\omega t +kx+\pi)


Answers (1)

best_answer

Standing wave is produced by superimposition of two travelling waves in opposite direction.

Wave travelling in opposite direction and forming node at x = 0 is y = A \sin (\omega t - kx+\pi)

 as at x =0, y_1= A \sin \omega t

                  y_2= A \sin (\omega t +\pi)=-A \sin \omega t

y_{\text{resultant}}= y_1+y_2=0  

Posted by

Pankaj Sanodiya

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