A soap bubble with walls 406 n m thick floats in air. If this bubble is illumina

Question

A soap bubble with walls 406nmthick floats in air.

If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? Assume that the index of refraction of the soap film is 1.33.   

What color will be absent in the reflected light?


A soap bubble with walls 406nmthick floats in air.

If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? Assume that the index of refraction of the soap film is 1.33.   

What color will be absent in the reflected light?


A soap bubble with walls 406nmthick floats in air.

If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? Assume that the index of refraction of the soap film is 1.33.   

What color will be absent in the reflected light?


A soap bubble with walls 406nmthick floats in air.

If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? Assume that the index of refraction of the soap film is 1.33.   

What color will be absent in the reflected light?

Explanation / Answer

Thickness t = 406 nm,
index n = 1.33
"absent" means destructive interference
Here i'm demoting lambda with l
2nt + l/2 = (2k + 1)l/2
2nt = kl
2*1.33*406 nm = kl
kl = 1079.96 nm
k = 1, l = 1079.96 nm (invisible)
k = 2, l = 539.98 nm
k = 3, l = 359.99 nm (invisible)

so the required wavelength is 539.98 nm

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