The ratio h / d is given by h d = n 2 − 1 4 − n 2 .

Question

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

Answer 1

Question

Chapter 34, Problem 20P

(a)

To determine

To show: The ratio h/d is given by hd=n2−14−n2 .

(b)

To determine

The height of the container when the width of the container is 8.00 cm .

(c)

To determine

The range of values of n for will be the center of coin not to be visible for any values of h and d.

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