1. A shopper standing 3.04 m from a convex security mirror sees his image with a magnification of 0.227. What is the focal length of the mirror?
2. A spear fisherman is looking for lunch when he spots a fish under water (n = 1.333). The fish appears to be at a depth of 1.393 meters when the fisherman's gaze is at an angle of 50.2° from being perpindicular with the surface of the water. What depth is the fish actually at?
3. Suppose you have an unknown clear substance immersed in water (n=1.333), and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 42.6º , and you observe the angle of refraction to be 26.3º . What is the index of refraction of the substance?
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