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A small tropical fish is at the center of a water-filled spherical fish bowl 28.

ID: 1303997 • Letter: A

Question

A small tropical fish is at the center of a water-filled spherical fish bowl 28.0cm in diameter.

A-Find the apparent position of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored.

B-Find the magnification of the fish to an observer outside the bowl.

C-A friend advised the owner of the bowl to keep it out of direct sunlight to avoid blinding the fish, which might swim into the focal point of the parallel rays from the sun. Is the focal point actually within the bowl?

Explanation / Answer

A) na/S + nb/S' = 0

S' = nb*S/na =- (1*28)/1.33) = -21.05 cm

B) S'/S = 21.05/28 = 0.751

C) no

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