7) Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rays coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the instructor at an apparent angle of θa = 35°, measured from the normal to the interface. Randomized Variables θa = 35°   a) Find the height of the instructor’s head above the water in meters, noting that you will first have to calculate the angle of incidence (you can take the indices of refraction to be na = 1 for air and nw = 1.33 for water).  b) Find the apparent depth of the diver’s head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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7) Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rays coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the instructor at an apparent angle of θa = 35°, measured from the normal to the interface.

Randomized Variables

θa = 35°

 

a) Find the height of the instructor’s head above the water in meters, noting that you will first have to calculate the angle of incidence (you can take the indices of refraction to be na = 1 for air and nw = 1.33 for water). 

b) Find the apparent depth of the diver’s head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water. 

2.0 m-
I
1
d=2.0 m
Transcribed Image Text:2.0 m- I 1 d=2.0 m
Expert Solution
Step 1

Given data:

Apparent angle, θa = 35°

Refractive indices, nair = 1, nw = 1.33

distance, d = 2m

h be height of instructor

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