A transparent oil with index of refraction 1.24 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident red light (wavelength 700 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.=_________nm

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A transparent oil with refraction index 1.24 spills on the surface of water  Assuming the maximum occurs in the first order, Then the thickness of the oil slick 271 nm

Given refraction index is 1.24

The formula to apply for find the maximum for this thin film is

2nt = mλ

(2)(1.29)t = (1)(700 X 10-9)

t = 2.71 X 10-7 m   which is 271 nm.

Light travels more slowly at higher refractive indices, changing direction within a material with a correspondingly greater degree. This means that lenses made of materials with higher refractive indices can bend light more strongly and have lower profiles. A refractive index of 1.5 applies to glass. In other words, the speed of light in glass is not independent of the color of the light and is 1.5 times slower than in a vacuum.

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