Antireflection coatings can be used on the inner surfaces of eyeglasses to reduc

Question

Antireflection coatings can be used on the inner surfaces of eyeglasses to reduce the reflection of stray light into the eye, thus reducing eyestrain.

PART A) A 90-nm-thick coating is applied to the lens. What must be the coating's index of refraction to be most effective at 480 nm? Assume that the coating’s index of refraction is less than that of the lens. n = _____ .

PART B) If the index of refraction of the coating is 1.38, what thickness should the coating be so as to be most effective at 480 ? The thinnest possible coating is best.
t = _____ nm .

Explanation / Answer

given thick ness of coating t = 90nm    wave length = 480nm      refractiv eindex   is t = /4n                n = /4t = 480nm/ 4 * 90nm             n = 1.33       b) if n = 1.38 = 480nm    then htick ness of possible coat is t = /4n      = 86.9nm

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