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A point source of light is placed at the bottom of a water lake. If the area of the illuminated circle on the surface is equal to 3 times the square of the depth of the lake. The refractive index of water is

a
π+1
b
π3+1
c
π3+1
d
π4+1

detailed solution

Correct option is B

Area = 3d2; Area of base of cone=πh2μ2-1=πd2μ2-1 3d2=πd2μ2-1 ; μ2-1=π3 ; μ=π3+1

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