1.

A soap bubble `(n = 1.33)` is floating in air. If the thickness of the bubble wall is 115 nm, what is the wavelength of the light that is most strongly reflected?

Answer» Light reflecting from the first suffer phase reversal. Light reflecting from the second surface does not, but passes twice through the thickness t of the film. So for consturctive interference, we require
`(lambda_(n))/(2) + 2 t = lambda n`
where `lambda_(n) = (lambda)/(n)` is the wavelength in the material.
Then, `2 t = (lambda_(n))/(2) = (lambda)/(2n)`
`:. lambda = 4 nt = 4 (1.33) (115nm) = 612 nm`


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