The displacement of the interfering sound waves are $y_1 = 4\sin\omega t$ and $y_2 = 3\sin\left(\omega t + \frac{\pi}{2}\right)$. What is the amplitude of the resultant wave?

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Aicharya · Accepted Answer

The amplitude of the resultant wave, $A = \sqrt{a_1^2 + a_2^2} = \sqrt{(4)^2 + (3)^2} = \sqrt{25} = 5$

The displacement of the interfering sound waves are $y_1 = 4\sin\omega t$ and $y_2 = 3\sin\left(\omega t +…

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