Light in vacuum is incident on the surface of a slab of transparent material. in the vacuum the beam makes an angle of 39.9° with the normal to the surface, while in the slab it makes an angle of 18.2° with the normal. what is the index of refraction of the transparent material?

n=2.053

Explanation:

We will use Snell's Law defined as:

Where n values are indexes of refraction and values are the angles in each medium. For vacuum, the index of refraction in n=1. With this we have enough information to state:

Solving for yields:

Remember to use degrees for trigonometric functions instead of radians!

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