Question

Light travels at 1.76×10^8m/s through an optical medium. what is the medium?​

Answer 1

The medium is glass (index of refraction: 1.70)

Explanation:

We can solve the problem by using the concept of index of refraction.

The index of refraction of a medium is given by:

$n=\frac{c}{v}$

where

$c=3.0\cdot 10^8 m/s$ is the speed of light in a vacuum

v is the speed of light in the medium

For the medium in this problem, we have

$v=1.76\cdot 10^8 m/s$

So, the index of refraction of this medium is

$n=\frac{3.0\cdot 10^8}{1.76\cdot 10^8}=1.70$

And looking at tables of index of refraction of various materials, we see that various types of glass have index of refraction of 1.70.

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