Answer:
49.8°
Explanation:
Data obtained from the question include:
n (refractive index) = 1.31
C (critical angle) =?
The refractive index and the critical angle are related by the following equation:
n = 1/sineC
Now, using the above equation, we can easily find the value of the critical angle as show below:
n = 1/sineC
1.31 = 1/sineC
Cross multiply to express in linear form as shown below:
1.31 x sineC = 1
Divide both side by 1.31
sineC = 1/1.31
sineC = 0.7634
Take the inverse of sine of both side
C = sine^-1 (0.7634)
C = 49.8°
Therefore, the critical angle is 49.8°
