The equations of two waves are given by
$y_{1}=5 \sin 2 \pi(x-v t) \,c m\,$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \,c m$
These waves are simultaneously passing through a string. The amplitude of the resulting wave is.........$cm$
JEE MAIN 2022, Medium
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$A_{1}=5 \quad A_{2}=3$
$\Delta \theta=2 \pi(1.5)=3 \pi$
$A_{\text {net }}=\sqrt{A_{1}^{2}+A_{2}^{2}+2 A_{1} A_{2} \cos (3 \pi)}$
$=\left| A _{1}- A _{2}\right|$
$=2 \,cm$
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