The back wall of a home aquarium is a mirror that is a distance of 57.1 cm away
ID: 2294877 • Letter: T
Question
The back wall of a home aquarium is a mirror that is a distance of 57.1 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 depth :
= Real depth / n_water
= 28.55 / 1.33
= 21.5 cm
(b)
Image from the mirror :
= 85.65 / 1.33
= 64.4 cm
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