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 water, the radius of th

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 water, the radius of the circle in centimetre is

TestHub · Accepted Answer

Here, tan i c ​ = h r ​ or r = h tan i c ​ or r = h c o s i c ​ s i n i c ​ ​ or r = h 1 − s i n 2 i c ​ ​ s i n i c ​ ​ But sin i c ​ = μ 1 ​ ∴ r ​ = h 1 − μ 2 1 ​ ​ μ 1 ​ ​ = μ 2 − 1 ​ h ​ = 9 16 ​ − 1 ​ 12 ​ = 7 ​ 12 × 3 ​ cm ​

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