Question

# An oil slick of thickness 324 nm and index of refraction (noil = 1.50) forms on...

An oil slick of thickness 324 nm and index of refraction (noil = 1.50) forms on the surface of a still pond (nwater = 1.33). When it is viewed from above, what is the wavelength of visible light that is A) mostly strongly reflected and B) most strongly transmitted? Show all equations and calculations.

The visible light that is strongly reflected interferes constructively with the light that is reflected from oil film

The equation for constructive interference of reflected light is

m = integer

where n = 1.5 is the refractive index of oil and d = 324 nm is the thickness of the oil film

Therefore for m =1, the wavelength will be in visible spectrum

The wavelength mostly strongly reflected is 648 nm

The visible light that is strongly transmitted interferes destructively with the light that is reflected from oil film

The equation for the descructive interference of reflected light is

For m = 2, the wavelength will be in visible spectrum

The wavelength mostly strongly transmitted is 486 nm

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