The Underwater Photographer's Dilemma · AI Generator #GEN-38A74815

Physics · optics

Problem

An underwater photographer is trying to capture images of fish through a thick aquarium wall. The aquarium glass has thickness d=8.0  cmd = 8.0\;\text{cm} and refractive index ng=1.52n_g = 1.52. The water inside has refractive index nw=1.33n_w = 1.33, and air outside has na=1.00n_a = 1.00. A fish is located at distance s1=30  cms_1 = 30\;\text{cm} from the inner surface of the glass wall. The photographer's camera lens is positioned at distance s3=45  cms_3 = 45\;\text{cm} from the outer surface of the glass wall. Due to refraction at the two glass-medium interfaces, the fish appears to be at a different location than its actual position. Calculate the apparent distance of the fish from the camera lens (i.e., the total object distance the camera needs to focus on to get a sharp image of the fish).

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