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In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A . If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of ' -2^ then the radius of curvature of meniscus is :

Options

  1. A1 3 ~cm
  2. B4 3 ~cm
  3. C1 ~cm
  4. D2 3 ~cm

Correct answer

D. 2 3 ~cm

Step-by-step solution

aligned & n ₂ v - n ₁ u n ₂- n ₁ R & 1.4 v - 1.3 -13 = 0.1 R & 1.4 v = 1- R 10 R & 1.4 v = 1- R 10 R & m = v / n ₂ u / n ₁ & -2 (-13) 1.3 = 10 R 1- R & R = 2 3 ~cm aligned

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