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This lecture discusses a scenario where a person is submerged in a glass sphere filled with air, observing a fish at a certain distance. By applying the principles of refraction, the lecture explains how the perceived distance of the fish differs from its actual distance, utilizing the concept of refractive indices and the equation for spherical lenses. Through a step-by-step analysis, the instructor demonstrates the calculation process to determine the real distance of the fish from the observer inside the sphere.