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A transparent oil with index of refraction 1.28 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident orange light (wavelength 600 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick. nm

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To solve this problem we will apply the concepts related to the principle of destructive and constructive interference. Mathematically this expression can be given as

[tex]2nt = m\lambda[/tex]

Here,

n = Index of refraction

t = Thickness

m = Order of the reflection

[tex]\lambda[/tex] = Wavelength

We have all of this values, therefore replacing,

[tex]2(1.28)t = (1)(600nm)[/tex]

[tex]t = 233nm[/tex]    

Therefore the thickness of the oil slick is 233nm

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