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MHT CET20242 May 2024Morning ShiftPhysicsRay OpticsActual

Two thin lenses have a combined power of +9 D. When they are separated by a distance of 20 cm , their equivalent power becomes + 27 5 D . The power of both the lenses in dioptre are respectively

Options

  1. A4,5
  2. B3,6
  3. C2,7
  4. D1,8

Correct answer

B. 3,6

Step-by-step solution

aligned & P₁+P₂=9 D . (i) & P₁+P₂-d₁ P₂= 27 5 . (ii) aligned where d =20 ~cm =0.2 ~m Substituting value of ( P ₁+ P ₂ ) in equation (ii) we get array ll & 9-0.2 P₁ P₂= 27 5 & 0.2 P₁ P₂=9- 27 5 = 18 5 & P₁ P₂= 18 0.2 5 =18 array Since P₁+P₂=9 and P₁ P₂=18 P ₁=3 and P ₂=6

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