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An image is formed at a distance of 100 ~cm from the glass surface when light from point source in air falls on a spherical glass surface with refractive index 1.5. The distance of the light source from the glass surface is 100 ~cm . The radius of curvature is

Options

  1. A20 cm
  2. B40 cm
  3. C30 cm
  4. D50 cm

Correct answer

A. 20 cm

Step-by-step solution

The refraction formula is ₂ v - ₁ u = ₂- ₁ R aligned & ₂=1.5, ₁ (air) =1, u=-100 ~cm , v=100 ~cm & 1.5 100 + 1 100 = 1.5-1 R 25 100 = 0.5 R R=20 ~cm aligned

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