Find the angle of refraction of a ray of light that enters fused quartz (1.458) from water (1.333) at an angle of 35.0

The angle of refraction required is 38.85°.

Refraction refers to the change in the direction of light as it passes from one medium to another. We have the following information from the question;

Using the formula;

θ2 = n1/n2 sinθ1

θ2 = angle of refraction in quartz

θ2 =  1.458/1.333 × sin35.0

θ2 = 0.6273

sin-1 (0.6273) = 38.85°

Learn more about refraction: link

Explanation:

When a ray of light passes through the interface between two mediums, it undergoes refraction, which means that it bends and it also changes speed.

The angle at which the ray of light bends is given by Snell's Law:

where

are the index of refraction of the 1st and 2nd medium

are the angle of incidence and angle of refraction, which are the angles between the incident (refracted) ray and the normal to the interface between the mediums

In this problem we have:

is the index of refraction of quartz

is the index of refraction of water

is the angle of incidence in quartz

Therefore, we can find the angle of refraction:

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