Problem 21.60 A sheet of glass is coated with a 496 nm thick layer of oil (n = 1

Question

Problem 21.60 A sheet of glass is coated with a 496 nm thick layer of oil (n = 1.42). Part A For what visible wavelengths of light do the reflected waves interfere constructively? Express your answer numerically. If there is more than one answer, enter your answers in ascending order separated by commas. Part B For what visible wavelengths of light do the reflected waves interfere destructively? Express your answer numerically. If there is more than one answer, enter your answers in ascending order separated by commas Part C What is the color of reflected light? Part D What is the color of the most part of transmitted light?

Explanation / Answer

Part A

lambda(constructive)=2nd/m

=2*496*10^-9*1.42/3

= 469.55*10^-9 m OR 469.55 nm

Part B

lambda(destructive)=2nd/(3-0.5)

   =2*496*10^-9*1.42/2.5

1 =563.456 nm

lambda(destructive)=2nd/(4-0.5)

   =2*496*10^-9*1.42/3.5

2 =402.47 nm

Part C

all colours except violet and yellow-green

Part D

Transmitted light is stronger in violet and yellow-green

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