Krzychau1

2021-12-30

A very thin oil film (n = 1.25) floats on water (n = 1.33). What is the thinnest film that produces a strong reflection for green light with a wavelength of 500 nm?

kaluitagf

Beginner2021-12-31Added 38 answers

Given data:

The refractive index for the oil film is${n}_{o}=1.25$

The refractive index for the water is${n}_{w}=1.33$

The wavelength is$\lambda =500\text{}nm$

For the thinnest film, the value of m will be 1.

The thickness can be calculated as:

$t=m\left(\frac{\lambda}{2{n}_{o}}\right)$

$t=\left(1\right)\left(\frac{500\text{}nm}{2\times 1.25}\right)$

$t=200\text{}nm$

Thus, the thickness of the thinnest film is 200 nm.

The refractive index for the oil film is

The refractive index for the water is

The wavelength is

For the thinnest film, the value of m will be 1.

The thickness can be calculated as:

Thus, the thickness of the thinnest film is 200 nm.

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