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Explain why a person’s legs appear very short when wading

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 7CQ Chapter 25

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 7CQ

Problem 7CQ

Explain why a person’s legs appear very short when wading in a pool. Justify your explanation with a ray diagram showing the path of rays from the feet to the eye of an observer who is out of the water.

Step-by-Step Solution:

Solution 7CQ

Step 1 of 1

A light ray BB travels upward from person’s leg and is incident at angle θ1 with vertical on the water surface.

This ray gets refracted in air at water air interface at an angle θ2 as shown in figure below. This ray will bend away from normal as shown in figure. This ray will reach to the observer.

3

If we traced back this ray then this ray seems to come from point B’. For the observer, point B’ is point where person’s leg is situated which is above from the point B where person’s leg is actually. Thus, to observer length of person’s leg appears to be K’ instead of K (actual length of person’s leg).

Thus, person’s leg appears to be shorter when wading in the pool.

Step 2 of 1

Chapter 25, Problem 7CQ is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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Explain why a person’s legs appear very short when wading