A sheet of glass (n=1.50) is coated with a 500 mn thick layer of oil (n=1.42). L

Question

A sheet of glass (n=1.50) is coated with a 500 mn thick layer of oil (n=1.42). Light traveling ill air is normally incident on the system. Consider one light wave reflecting from the air-oil interface and another reflecting from the oil-glass interface. For what visible wavelengths (380 to 750 mn) of light do the reflected waves interfere constructively? For what visible wavelengths of light do the reflected waves interfere destructively? Consider the same system as in problem 1. but now imagine that the light starts in the glass. Consider one wave that reflects from the glass-oil interface and another that reflects from the oil-air interface. Are the answers the same as in part 1? If so. explain why. If not. find the new answers.

Explanation / Answer

2d*n*cos?=n?

1000*1.42cos?=n?

1420cos?=n?

value of visible wavelength=400 nm to 700 nm

taking cos?=1

a)?=1420/2,1420/3=710 ,473.33

for destructive

1000*1.42cos?=(n-0.5)?

cos =1

b)?=1420/2.5,1420/3.5=568 nm,405 nm

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