Question

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

Answer 1

The answer is "C"

Step-by-step explanation:

I just took the test and got it correct.

Answer 2

C ) 1.53

Step-by-step explanation:

The critical angle of a material is given by the formula

`sin c = (1)/(n)`

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:

`c=40.8^(\circ)`

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

`n=(1)/(sin c)=(1)/(sin 40.8^(\circ))=1.53`