A fish floats in liquid with its eye at the centre of an opaque-walled full tank of liquid of circular cross-section. When the fish looks upwards, it can see a fish-eye view of the surrounding scene, i.e. it is able to view the entire space above the liquid surface. The diameter of the tank is 30 cm, and the critical angle for the liquid is 37°. At what maximum depth d below the surface of the liquid must the fish be floating? (sin 37° = 3/5)
Physics · Geometrical optics · law of refraction and total internal reflection
A fish floats in liquid with its eye at the centre of an opaque-walled full tank of liquid of circular cross-section. When the fish looks upwards, it can see a fish-eye view of the surrounding scene, i.e. it is able to view the entire space above the liquid surface. The diameter of the tank is 30 cm, and the critical angle for the liquid is 37°. At what maximum depth d below the surface of the liquid must the fish be floating? (sin 37° = 3/5)
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