A flat piece of glass covers the top of a vertical cylinder that is completely filled with water. If a ray of light traveling in the glass is incident on the interface with the water at an angle of = 36.2°, the ray refracted into the water makes an angle of 49.8° with the normal to the interface. What is the smallest value of the incident angle for which none of the ray refracts into the water?

The smallest value of the incident angle is 50.8°

Explanation:

According the law of refraction:

Where

n₁ = index of refraction glass

n₂ = index of refraction water = 1.333

θ₁ = 36.2°

θ₂ = 49.8°

The index of refraction of the glass is:

The smallest value of the incident angle is:

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