A small coin is resting at the bottom of a swimming pool. Draw a ray diagram of the situation, showing at least two incident rays (one on each side of the normal) and their refracted rays at the water-air interface. Trace the refracted rays back into the water until they converge. Now you can identify some right triangles that will allow you to deduce the apparent distance below the water of the coin in terms of its actual distance and the index of refraction. Derive from this the formula for the apparent distance.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 97PQ
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A small coin is resting at the bottom of a swimming pool. Draw a ray diagram of the situation, showing at least two incident rays (one on each side of the normal) and their refracted rays at the water-air interface. Trace the refracted rays back into the water until they converge. Now you can identify some right triangles that will allow you to deduce the apparent distance below the water of the coin in terms of its actual distance and the index of refraction. Derive from this the formula for the apparent distance.
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