Physics: A soap bubble is 115 nm thick and illuminated by white light incident perpendicular to its surface. What wavelength (in nm) and color of visible light is most constructively reflected, assuming the same index of refraction as water (nw = 1.33)?

The answer you are looking for is D Pangea i hope im right ...

A soap bubble is 115 nm thick and illuminated by white

mdaniella522

30.01.2022

The wavelength is $\lambda = 612nm$ and the color is Orange

Explanation:

from the question we are told that

The thickness is $D = 115 nm = 115 *10^{-9} \ m$

The refractive index of water is n_w = 1.33

Generally the condition for constrictive interference is

$2 * D = \frac{\lambda _n}{2}$

Where $\lambda _n$ is the wavelength of light in a particular medium

Now considering the medium of water(soap bubble )

The wavelength of light in this medium is mathematically represented as

$\lambda = \frac{\lambda }{n }$

$2 * D = \frac{\frac{\lambda }{n} }{2}$

$2 * D = \frac{\lambda }{2 * n }$

=> $\lambda = 4 *n * D$

substituting values

$\lambda = 4 *1.33 * 115*10^{-9}$

$\lambda = 6.118 *10^{-7} \ m$

$\lambda = 612nm$

The color is orange because the wavelength range of yellow is

590–625 nm

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