G Visible light travels in air, which has an index of refraction of 1.0. It is incident on plastic which is covered by a coating (such that light hits the coating before the plastic). The coating has an index of refraction of 1.6 and is 0.50 microns thick. The ray reflected off the air-coating interface and the ray reflected off the coating-plastic interface experience interference. What frequencies could the light be

The interference is constructive. The plastic used has an index of refraction of 1.7

Explanation:

Given that :

Visible light travels in air, which has an index of refraction of 1.0

i.e

The coating has an index of refraction of 1.6

i.e

Since the index of refraction of air is incident on the plastic which is covered by a coating ; then

Now; for constructive interference:

where ;

m =1, 2, ... n

For m = 1

For m =2

    for n = 1, 2 , .......

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