60 points answer correctly what is the refractive index of a solution that has a critical angle of 40.8° with respect to air? the refracting index of air is 1.00. a ) 1.17 b ) 1.25 c ) 1.53 d ) 1.65

C ) 1.53

Explanation:

The critical angle of a material is given by the formula

where

c is the critical angle

n is the refractive index

This formula is valid if the second medium is air (which is the case of the problem).

In this problem, we know the critical angle:

Therefore we can rearrange the equation to find the refractive index: