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 eye observes two images of the fish: one formed by direct light rays and the other formed by rays reflected from the mirror at the base. For the direct image, the real depth of the fish from the water surface is H - H 2 = H 2 . The apparent depth of this image from the water surface is d₁ = H 2 . The distance of this first image from the eye is D₁ = H + d₁ = H + H 2 = H (1 + 1 2 ) below the eye. For the reflected image, the fish is at a distance of H 2 above the plane mirror at the base. The mirror forms a virt