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11. The gure below shows a ray of light traveling from the point A (in a medium such as water) to the point B (in
11. The gure below shows a ray of light traveling from the point A (in a medium such as water) to the point B (in a medium such as air). The perpendicular distance from A to the line separating the two media is a, and perpendicular distance from B is b. You can take the horizontal distance between A and B to be c. The point P at which the ray of light hits the interface, the angle of incidence a, and the angle of refraction 5' are unknown. They are determined by an important principle of physics discovered by Fermat. According to Fermat's principle, light travels along the path that minimizes the time of travel. Assume the velocity of light in the two media to be u and 1), respectively. Find the relationship between or and
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