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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 :

Options

  1. A15 × 7 3   cm
  2. B15 × 3 7   cm
  3. C1 5 × 3 7   cm
  4. D1 5 × 3 × 5   cm

Correct answer

B. 15 × 3 7   cm

Step-by-step solution

∴    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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