Two waves of equal frequency f and velocity v travel in opposite directions along the same path. The waves have amplitudes A and $$3A$$. Then

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Infinity Learn · Accepted Answer

$$y=y1+y2=A$$ $$sin$$ $$($$ωt−$$kx$$$$)+3A$$ $$sin$$ $$($$ω$$t+$$$$kx$$$$)=A$$ $$sin$$ ωt $$cos$$ $$kx$$−A $$cos$$ ωt $$sin$$ $$kx$$$$+3A$$ $$sin$$ ωt $$cos$$ $$kx$$$$+3A$$ $$cos$$ ωt $$sin$$ $$kx$$$$=4A$$ $$sin$$ ωt $$cos$$ $$kx$$$$+2A$$ $$cos$$ ωt $$sin$$ $$kx$$$$=2A$$ $$sin$$ ωt $$cos$$ $$kx$$$$+2A$$ $$sin$$ $$($$ω$$t+$$$$kx$$$$)It$$ is combination of a stationary and travelling wave.Maximum amplitude $$=$$ $$4$$ A.Minimum amplitude $$=$$ $$2$$ ADistance between points having amplitude $$4A$$ and $$2A$$ will be $$=$$λ$$/4=v/4f$$

Two waves of equal frequency f and velocity v travel in opposite directions along the same path. The waves have amplitudes A and 3A. Then

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