A fish is near the centre of a spherical fishbowl filled with water ( μ w = 4 3 ). A child is standing at a distance of 2 R from the centre of the bowl, where R is the radius of curvature of the bowl. The distance from the centre of the fishbowl, where the child's nose will appear to the fish is

Question

A fish is near the centre of a spherical fishbowl filled with water ( μ w = 4 3 ). A child is standing at a distance of 2 R from the centre of the bowl, where R is the radius of curvature of the bowl. The distance from the centre of the fishbowl, where the child's nose will appear to the fish is, R, 2 R, 3 R, 4 R

MARKS App · Accepted Answer

μ 2 v - μ 1 u = μ 2 - μ 1 R ⇒ 4 3 v - 1 - R = 4 3 - 1 R ⇒ 4 3 v = 1 3 R - 1 R 4 3 v = 1 - 3 3 R ⇒ v = - 4 R 2 ⇒ v = - 2 R Distance of image from centre = 3R

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