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Physics for Scientists and Engineers with Modern Physics | 9th Edition | ISBN: 9781133954057 | Authors: Raymond A. Serway John W. Jewett
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Answer: A person looking into an empty container is able

Chapter 35, Problem 32

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QUESTION:

A person looking into an empty container is able to see the far edge of the containers bottom as shown in Figure P35.32a. 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 containers bottom as shown in Figure P35.32b. (a) Show that the ratio h/d is given by h d 5 n2 2 1 4 2 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?

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QUESTION:

A person looking into an empty container is able to see the far edge of the containers bottom as shown in Figure P35.32a. 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 containers bottom as shown in Figure P35.32b. (a) Show that the ratio h/d is given by h d 5 n2 2 1 4 2 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?

ANSWER:

Step 1 of 5

The height of the container is  

The width of the container is

The index of refraction is .

Part (a)

Consider the path of rays before filing the container.

                                                     

 

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