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A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen :

Options

  1. A14cm below flat surface
  2. B20cm below flat surface
  3. C16cm below flat surface
  4. D30cm below flat surface

Correct answer

B. 20cm below flat surface

Step-by-step solution

Mirror image 1 v + 1 u = 1 f ⇒ 1 v + 1 - 4 = 1 - 5 1 v = 1 20 v = 20 So, it is 30 cm below flat surface. Now, After refraction v ' = 30 μ = 30 1.5 = 20   c m

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