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KVPY2015PhysicsRay Optics

A girl sees through a circular glass slab(refractive index 1.50 of thickness 20 ~mm and diameter 60 ~cm to the bottom of a swimming pol. Refractive index of water is 1.33. The bottom surface of the slab is in contact with the water surface. The depth of swimming pool is 6 ~m . The area of bottom of swimming pool that can be seen through the slab is approximately.

Options

  1. A100 ~m ²
  2. B160 ~m ²
  3. C190 ~m ²
  4. D220 ~m ²

Correct answer

B. 160 ~m ²

Step-by-step solution

For maximum possible area I should be 90^ array l 1 90^ = 4 3 sinr ^ r^ = 3 4 r^ = 3 7 array Total base area (6 3 7 +0.3 )² 160 ~m ²

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