20. A person looking into an empty container is able to see the far edge of the container's bottom as shown in Figure P34.20a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refrac- tion 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 P34.20b. (a) Show that the ratio h/dis given by n² – 1 4 – n? d (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? Figure P34.20
20. A person looking into an empty container is able to see the far edge of the container's bottom as shown in Figure P34.20a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refrac- tion 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 P34.20b. (a) Show that the ratio h/dis given by n² – 1 4 – n? d (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? Figure P34.20
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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Transcribed Image Text:20. A person looking into an empty container is able to see the far
edge of the container's bottom as shown in Figure P34.20a.
The height of the container is h, and its width is d. When the
container is completely filled with a fluid of index of refrac-
tion 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 P34.20b. (a) Show that the ratio h/dis given by
n² – 1
4 – n?
d
(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?
Figure P34.20
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