Answer:
The index of refraction of the oil is 1.41.
Explanation:
We can find the index of refraction of the oil using Snell's law:
[tex] n_{1}sin(\theta) = n_{2}sin(\alpha) [/tex]
Where:
n₁: is the index of refraction of medium 1 (air) = 1.00
n₂: is the index of refraction of medium 2 (oil) =?
θ: is the angle between the light ray and the medium 1 = 61.0°
α: is the angle between the light ray and the medium 2 = 38.3°
Hence, the index of refraction of the oil is:
[tex] n_{2} = \frac{n_{1}sin(\theta)}{sin(\alpha)} = \frac{1.00*sin(61.0)}{sin(38.3)} = 1.41 [/tex]
Therefore, the index of refraction of the oil is 1.41.
I hope it helps you!