A thin flake of mica ( n = 1.58 ) is used to cover one slit ofa double slit interference arrangement. The central point on theviewing screen is now occupied by what had been the seventh brightside fringe ( m = 7 ). If λ = 550 nm, what is thethickness of the mica?

the thickness of the mica is 6.64μm

Explanation:

By definition we know that the phase between two light waves that are traveling on different materials (in this case also two) is given by the equation

Where

L = Thickness

n = Index of refraction of each material

Our values are given as

Replacing our values at the previous equation we have

the thickness of the mica is 6.64μm

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