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The feathers of a hummingbird have an iridescent color due to interference. A si

ID: 1265582 • Letter: T

Question

The feathers of a hummingbird have an iridescent color due to interference. A simplified model of the step structure of the feather is shown in the figure below. If the strongest reflection for normal incidence is at ? = 604 nm, what is the step height h? Assume h has the smallest possible value.

The feathers of a hummingbird have an iridescent color due to interference. A simplified model of the step structure of the feather is shown in the figure below. If the strongest reflection for normal incidence is at ? = 604 nm, what is the step height h? Assume h has the smallest possible value.

Explanation / Answer

n? = 2hsin?

here n =1

for smallest h take sin? =1

now step height h=?/2 = 604/2 = 302 nm

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