5. A predatory Angler Fish has evolved bioluminescence, so that it can make its

Question

5. A predatory Angler Fish has evolved bioluminescence, so that it can make its own light of 600 nm wavelength that it uses like a flashlight to help it see. A species of jellyfish lives in deep ocean water (so that the only light that reaches it is produced by the fish). The body of the jellyfish is mostly water surrounded by a ?thin film? of transparent cells with an index of refraction ncells = 1.50. a. (8 points) What is the minimum thickness of the layer of transparent cells that would produce constructive interference of reflected light? b. (8 points) What is the minimum thickness of the layer of transparent cells that would produce destructive interference of reflected light? c. (4 points) Why would evolution tend to favor jellyfish that have a layer of these transparent cells with the thickness that you found in part (b) instead of the thickness that you found in part (a)?

Explanation / Answer

a.) x = ( m + 1/2 ) * lambda / ( 2 * n )

For constructive interfrence m=0

x= 600 / ( 4 * 1.5 / 1.33 )

x = 133 nm ans

b.) For destructive interference

m = 1

x =(3/2 * 600 ) / ( 2 * 1.5 / 1.33 )

x = 399 nm ans

c.) because that thickness is too small ( in nanometer scale ) which is of the atomic size, so thikness must be greater as we fount in part (a)

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