A thin piece of glass with an index of refraction of n_2 = 1.50 is placed on top

Question

A thin piece of glass with an index of refraction of n_2 = 1.50 is placed on top of a medium that has an index of refraction n_2 = 2.00, as shown in the figure. A beam of light traveling in air (n_1 = 1.00) shines perpendicularly down on the glass. The beam contains light of only two colors, blue light with a wavelength in air of 444 nm and orange light with a wavelength in air of 592 nm. What is the minimum non-zero thickness of the glass that gives completely constructive interference for the orange light reflecting from the film? nm

Explanation / Answer

Here ,

n1 = 1

n2 = 1.50

n3 = 2

wavelength for orange = 444 nm

a) let the thickness of the glass is t

for the constuctive interference

2 * n * t = m * wavelength

2 * 1.50 * t = 1 * 444

t = 148 nm

the thickness of the glass that gives organe light maximum contructive interference is 148 nm

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