A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is 4 3 , and the diver's eyes are 15 cm below the surface of the water. Then the radius of the circle is :

Question

A diver looking up through the water sees the outside world contained in a circular horizon. The refractive index of water is 4 3 , and the diver's eyes are 15 cm below the surface of the water. Then the radius of the circle is :, 15 × 7 3 cm, 15 × 3 7 cm, 1 5 × 3 7 cm, 1 5 × 3 × 5 cm

MARKS App · Accepted Answer

∴ sin θ c = 1 μ = 3 4 ∴ r h 2 + r 2 = 3 4 ∴ r 2 h 2 + r 2 = 9 1 6 ∴ 1 6 r 2 = 9 h 2 + 9 r 2 7 r 2 = 9 h 2 r = h 9 7 = 3 h 7 = 3 7 × 1 5 cm

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