Two sound waves having same amplitude ' $A$ ' and angular frequency. ' $\omega$ ' but having a phase…

Two sound waves having same amplitude ' $A$ ' and angular frequency. ' $\omega$ ' but having a phase difference of $\left(\frac{\pi}{2}\right)^c$ are superimposed then the maximum amplitude of the resultant wave is
  1. $\frac{\mathrm{A}}{\sqrt{2}}$
  2. $\frac{\mathrm{A}}{2}$
  3. $\sqrt{2} \mathrm{~A}$
  4. 2 A

Solution

$A_{\max }=\sqrt{A^2+A^2}=\sqrt{2} A$

Asked in: MHT CET 2024 (09 May Shift 1)

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