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AP EAMCET202423 May 2024Morning ShiftPhysicsRay OpticsActual

When a convex lens is immersed in two different liquids of refractive indices 1.25 and 1.5. The ratio of the focal lengths of the lens is 5: 16 . The refractive index of the material of the lens is

Options

  1. A1.55
  2. B1.5
  3. C1.65
  4. D1.6

Correct answer

C. 1.65

Step-by-step solution

In first liquid, ₁=1.25 1 f ₁ = ( ₂ 1.25 -1 ) ( 1 R ₁ - 1 R ₂ ) In second liquid, ₁=1.5 aligned & 1 f ₂ = ( ₂ 1.5 -1 ) ( 1 R ₁ - 1 R ₂ ) & f ₁ f ₂ = ( ₂ 1.5 -1 ) ( ₂ 1.25 -1 ) = 5 16 & ₂=1.65 aligned

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