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Distance of a bird from a fish, as observed by a fish is x. and distance of the fish from the bird as observed by the bird is y. Then refractive index of water is

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a

xy2−x2

b

xy

c

x2+y2y

d

(1+yx)

answer is B.

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Detailed Solution

Let H = Actual height of bird above the surface of water and h = Actual depth of fish below the surface of water.∴ h+μH=x.....(1) and H+hμ=y.....(2)∴x=μy⇒μ=xy

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Distance of a bird from a fish, as observed by a fish is x. and distance of the fish from the bird as observed by the bird is y. Then refractive index of water is