(Modeling) Speed of Light When a light ray travels from one medium, such as air, to...

(Modeling) Speed of Light When a light ray travels from one medium, such as air, to another medium, such as water or glass, the speed of the light changes, and the light ray is bent, or refracted, at the boundary between the two media. (This is why objects under water appear to be in a different position from where they really are.) It can be shown in physics that these changes are related by Snell’s law

where c₁ is the speed of light in the first medium, c₂ is the speed of light in the second medium, and u₁ and u₂ are the angles shown in the figure. In Exercises 69 and 70, assume that c₁ = 3 ×10⁸ m per sec.

Find u₂ for each of the following values of u1 and c2 . Round to the nearest degree.

(a) θ₁ = 40° , c2 = 1.5 × 108 m per sec

(b) θ₁ = 62° , c2 = 2.6 × 108 m per sec