A person looking into an empty container is able to see the far edge of the container's bottom as shown in this Figure. 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 this Figure. 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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For n=1,h=0. For n=2,h=∞. For n>2,h has no real solution.