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AP EAMCET201921 Apr 2019Evening ShiftPhysicsRay OpticsActual

A small object is enclosed in a transparent solid sphere of radius 8 cm . The object is situated at 2 cm from the centre of the sphere. If its image appears to be at 3 . 2 cm from the nearest side then the refractive index of the material of the sphere is

Options

  1. A1 . 62
  2. B1 . 45
  3. C1 . 55
  4. D1 . 50

Correct answer

D. 1 . 50

Step-by-step solution

The figure below represents transparent solid sphere. From the figure, u = - 6   cm v = - 3 . 2   cm The formula for the refractive indexes of first and second medium with respect to air, μ 2 v - μ 1 u = μ 2 - μ 1 R Substitute the values in the above equation. 1 - 3 . 2 - μ - 6 = 1 - μ - 8 Simplify the above equation. μ = 1 . 5

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