Observe the setup illustrated in the figure. The base of the pot functions as a reflecting plane mirror, while S represents a small fish and T represents a human eye. The refractive index of the water is . Determine the distance(s) from itself at which the eye observes the image(s) of the fish.

Step-by-step solution

The fish observes two images of the eye: one by direct refraction and the other by refraction followed by reflection from the bottom mirror. For the direct view, the eye is in the air at a height H above the water surface. Since the fish is in water of refractive index , the apparent height of the eye from the water surface is H . The fish is at a depth of H 2 below the water surface. The distance of this first image from the fish, seen above itself, is H + H 2 = H ( + 1 2 ) . For the second image, the apparent pos