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The horsefly Hybomitra lasiophthalma has a cuticle that is made up of a layer of chitin...

The horsefly Hybomitra lasiophthalma has a cuticle that is made up of a layer of chitin 89 nm think with an index of refraction of 1.73. This layer is on top of chitin with a smaller index of refraction (1.40). When light shines on the cuticle with an angle of incidence of 0o, what color will the cuticle appear? You may assume that the horsefly is in air. Explain/show your work.

*Color wavelength (nm)

Purple 380-450

blue 450-495

green 495-570

yellow 570-590

orange 590-620

red 620-750

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Answer #1

The condition for constructive interference for our case is

Putting the values in the equation in SI units

And this wavelength corresponds to orange color.

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