The lenses of a particular set of binoculars have a coating with index of refrac
ID: 2108263 • Letter: T
Question
The lenses of a particular set of binoculars have a coating with index of refraction n = 1.38, and the glass itself has n = 1.52. Part A If the lenses reflect a wavelength of 535nm the most strongly, what is the minimum thickness of the coating? Express your answer with the appropriate units. The lenses of a particular set of binoculars have a coating with index of refraction n = 1.38, and the glass itself has n = 1.52. Part A If the lenses reflect a wavelength of 535nm the most strongly, what is the minimum thickness of the coating? Express your answer with the appropriate units. Part A If the lenses reflect a wavelength of 535nm the most strongly, what is the minimum thickness of the coating? Express your answer with the appropriate units.Explanation / Answer
the index of refraction above the surface of the coating (air), is...
2nt = mλ. This is for constructive interference of 545 nm as given in the problem
(2)(1.38)(t) = (1)(535 X 10-9)
t = 1.9338 X 10-7 m
This answer can aslo be stated in different ways, they are .19338 μm or 19338 nm. All three answers are the same using different metric prefixes.