A parallel beam of light containing red (660 nm) and violet (410 nm) wavelengths goes from polystyrene to water, striking the surface between them at a 56.0° incident angle. The indices of refraction for red and violet light in polystyrene are respectively 1.488 and 1.506. The index of refraction for red and violet light in water is respectively 1.331 and 1.342. What is the angle between the two colors in water?

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Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.