Physics - Wave Optics Question with Solution | TestHub

Let the amplitudes be $5x$ and $x$ respectively. The resultant waves will have maximum amplitude when both are in phase Therefore, amplitudes should add up to $5x+x=6x$ During destructive interference, the waves are out of phase Therefore, the resultant amplitude is $x-5x=-4x$ Maximum intensity $\propto (\text{ maximum amplitude }{)}^2=36x^2$ Minimum intensity $\propto (\text{ minimum amplitude }{)}^2=16x^2$ The ratio of the maximum to minimum intensity $=\frac{36}{16}=\frac{9}{4}$