The colors of many butterfly wings and beetle carapaces

Chapter , Problem 65

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The colors of many butterfly wings and beetle carapaces are due to the effects of diffraction. The Morpho butterfly has structural elements on its wings that effectively act as a diffraction grating that has an spacing. At what angle will the first diffraction maximum occur for normally incident light diffracted by the butterflys wings? Assume the light is blue and has a wavelength of

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