The back wall of a home aquarium is a mirror that is a distance of 30.0 cm away

Question

The back wall of a home aquarium is a mirror that is a distance of 30.0 cm away from the front wall. The walls of the tank are negligibly thin. A fish, swimming midway between the front and back walls, is being viewed by a person looking through the front wall. The index of refraction of air is nair = 1.000 and that of water is nwater = 1.333. (a) Calculate the apparent distance between the fish and the front wall. (b) Calculate the apparent distance between the image of the fish and the front wall.

Explanation / Answer

(a)

apparent distance = real depth / nwater=(30/2)/1.333=11.25 cm

(b)image from the mirror is =distance+realdepth/1.333= (30+30/2)/1.333=33.758 cm

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