A fish, looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4 3 and the fish is 12 cm below the surface of the water, the radius of the circle in centimetre is

Question

A fish, looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4 3 and the fish is 12 cm below the surface of the water, the radius of the circle in centimetre is, 36 5, 36 5, 36 7, 36 7

MARKS App · Accepted Answer

From figure, tan ⁡ C = r 12 o r r = 12 tan ⁡ C o r r = 12 sin ⁡ C 1 - sin 2 ⁡ C r = 12 × 1 μ 1 - 1 μ 2 = 12 μ 2 - 1 = 12 4 3 2 - 1 i . e . , r = 12 × 3 7 = 36 7

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