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1 Let's consider two possible sh tank designs where the surface is either at or curved. In either case the tank is lled with water

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Let's consider two possible sh tank designs where the surface is either at or curved. In either case the tank is lled with water and we will consider the images of two sh located 5.00 cm and 10.0 cm from the front of the tank (the side observers will look through) in the water. In both cases the surface of the tank have uniform thickness. a. Briey explain why the index of refraction of the material of the tank itself will have negligible impact on the observed images of the sh as viewed by an observer outside the tank. b. For the aquarium with the at surface, nd the observed positions of the images of the sh at both positions as observed by an external viewer in front of the sh tank. Are the images real or virtual? Explain your conclusions. c. Consider the lateral magnication of the sh. Complete the gure below by continuing the two blue rays and determining the location of the formation of the image of the sh. Use geometry to nd the lateral magnication M = '17,, where h.' is the height of the image, for either of the sh in part b. m d. Next, consider the case of a curved front surface for the aquarium with a radius of curvature of magnitude 2.25 In. Find the observed positions of the images of the sh at both positions as observed by an external viewer in front of the sh tank. Are the images real or virtual? Explain your conclusions. e. For any retracting surface, at or curved, the lateral magnication can be modeled by the expression M = ::Z, where n1 is the index of refraction of the medium on the same side as the object (note, this is not the case in our problem, make sure you take that into account). Use this model to check your predicted magnication from part c. f. Compute the magnication of the two sh in the case of the curved aquarium. Explain your computations

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