a b Figure P34.20

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 70PQ: A Fill in the missing entries in Table P38.70. Table P38.70
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A person looking into an empty container is able to see the far edge of the container’s bottom as shown. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the container’s bottom as shown. (a) Show that the ratio h/d is given by
                                                  h/d = √n2 -1/4 - n2
(b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container. (c) For what range of values of n will the center of the coin not be visible for any values of h and d?

a
b
Figure P34.20
Transcribed Image Text:a b Figure P34.20
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