Answer:
The index of refraction for Medium 2 would be 1.25
Step-by-step explanation:
We have the following data:
Speed of light in Medium 1 = V₁
Speed of light in Medium 2 = V₂
The speed of Light in Medium 2 is related to speed of light in Medium 1 as:
V₂ = 0.8 V₁
Moreover, it is given that Medium 1 is air with index of refraction equal to 1. i.e.
n₁ = 1
We need to find the index of refraction for medium 2. Lets name it is as n₂.
Snell's law related the above mentioned 4 quantities by following relation:
The ratio of indices of refraction of 2 mediums is equivalent to the reciprocal of ratio of phase velocities in those 2 mediums. Mathematically, this can be written as:
Substituting the values we have gives us:
This means, the index of refraction for Medium 2 would be 1.25