Light travels from material X with an index of refraction of n=1.5 to material Y with an index of refraction of n = 2.0.
Light travels from material X with an index of refraction of n=1.5 to material Y with an index of refraction of n = 2.0. If the speed of light in material Y is v, what is the speed of light in material X?
A) 0.56 v
B) 0.75 v
C) 1.33 v
D) 1.78 v
E) 3.0 v
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The correct option is: (C) 1.33 v
Explanation:
From n = c/v.
n1 = c/v1 … 1.5 = c / vX … vX = c / 1.5
n2 = c/v2 … 2.0 = c / vY … vY = c/2
The problem defines vY = v
So v = c/2, c = 2v … then subbing that into the vx equation we have vX = (2v) / 1.5 = 1.33 v
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