You deposit a thin film of magnesium difluoride on a glass lens n 1.60), reducing the reflection of yellow light, at normal incidence, to a minimum. You find that the thinnest coating that accomplishes this is 106 nm thick. The index of refraction for MgF2 for yellow light λ = 585 nm) is

Question

You deposit a thin film of magnesium difluoride on a glass lens n > 1.60), reducing the reflection of yellow light, at normal incidence, to a minimum. You find that the thinnest coating that accomplishes this is 106 nm thick. The index of refraction for MgF2 for yellow light λ = 585 nm) is

Quizplus · Accepted Answer

The thinnest coating for minimum reflection can be found using the formula:
$t= \frac{\lambda}{4n}$, where t is the thickness of the coating and n is the refractive index of the coating.

Plugging in the given values, we get:
$106	ext{ nm}= \frac{585}{4n}$
Solving for n, we get:
$n=1.38$

Therefore, the answer is B) 1.38.

You Deposit a Thin Film of Magnesium Difluoride on a Glass