A certain species of fish is startled whenever it notices another animal 20 cm away, and quickly flees. A fish of this species is in a cubic aquarium 5 cm away from the inside of the glass while a person approaches to observe it more closely. The glass has n = 1.55 and is 3 cm thick. Consider that the person moves facing the fish and that the refractive index of the water is 1.33. There is a first image of the person produced by refraction in the glass, and this image in turn acts as the object to produce a second image by refraction in the water. (a)
A certain species of fish is startled whenever it notices another animal 20 cm away, and quickly flees. A fish of this species is in a cubic aquarium 5 cm away from the inside of the glass while a person approaches to observe it more closely. The glass has n = 1.55 and is 3 cm thick. Consider that the person moves facing the fish and that the refractive index of the water is 1.33. There is a first image of the person produced by refraction in the glass, and this image in turn acts as the object to produce a second image by refraction in the water. (a) When the fish is startled and runs away, at what distance from the water/glass interface must the first image be? (b) How far from the outer surface of the aquarium is the person when this happens?
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