College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 59

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 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 in Figure P22.23b. (a) Show that the ratio h/d is given by
(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.