If a soap bubble is 110 nm thick then the wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light would be 580.8 nanometers.
It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.
n = Index of refraction of soap bubble = 1.32
t = thickness of the soap bubble = 110 nm = 110 x 10⁻⁹ m
m = 0
The necessary condition for the reflection to happen,
2nt = (m+ 0.5)λ
2×(1.32)×(110 x 10⁻⁹ ) = (0 +0.5)λ
λ= 580.8 ×10⁻⁹
λ= 580.8 nanometers
Thus, the wavelength of the reflected light would be 580.8 nm.
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