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Tobenna is visiting the penguin exhibit at a zoo. He sees a penguin swimming underwater, using its beak to look for food at the bottom

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Tobenna is visiting the penguin exhibit at a zoo. He sees a penguin swimming underwater, using its beak to look for food at the bottom of the tank. According to a tour guide, the tank is 1.5 m deep. Assume the index of refraction of the water is the usual one of 1.33, and that Tobenna is standing right at the edge of the tank. 1. Tobenna's excellent depth perception tells him the penguin is 2.0 m away. He has taken PHYS 102 so he knows that this is just an apparent distance. Determine the apparent and actual distances of the penguin from the edge of the tank. 2. If Tobenna crouches down so his head is only 1.0 m above the ground, will he perceive the penguin to be closer or further from the wall than in 1.? 3. Is there a place where Tobenna could stand where he would not see the penguin at all, despite being able to draw a straight line between his eyes and the penguin? (i.e. due to optical effects, not from standing around a corner.) 4. Knowing that the index of refraction of water changes slightly with composition, temperature, and wavelength of the light', how much would your answers above change when accounting for the salt and likely-cold (0 .C) water that penguins prefer? Answer only in relative terms (greater/less than), you don't need to recalculate 1-3 with a new refractive index. 1.7 m Apparent distance 2.0 m Image of 1.5 m penguin

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