A person looking into an empty container is able to see the far edge of the container's bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is com- pletely 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 in Figure P22.23b. (a) Show that the ratio h/d is given by 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. b. Figure P22.23

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter22: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 23P: A person looking into an empty container is able to see the far edge of the containers bottom, as...
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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
in Figure P22.23a. The height of the
container is h, and its width is d. When the container is com-
pletely 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 in Figure
P22.23b. (a) Show that the ratio h/d is given by
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.
b.
Figure P22.23
Transcribed Image Text:A person looking into an empty container is able to see the far edge of the container's bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is com- pletely 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 in Figure P22.23b. (a) Show that the ratio h/d is given by 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. b. Figure P22.23
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