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A plano-convex lens of power P is cut into two pieces by a plane perpendicular to its principal axis. What will be the powers of the two resulting pieces?

Options

  1. AP 2 and P 2
  2. BP and P
  3. CP and 0
  4. D2P and 0

Correct answer

C. P and 0

Step-by-step solution

For a plano-convex lens, the principal axis is perpendicular to its plane surface. When the lens is cut by a plane perpendicular to the principal axis, the cut is parallel to the existing plane surface. This divides the lens into two pieces: 1. A piece with two parallel plane surfaces (a glass slab). Its radii of curvature are R₁ = and R₂ = . Its power is P₁ = ( - 1) ( 1 - 1 ) = 0 . 2. A piece with one plane surface and the original convex surface. Its radii of curvature are R₁ = and R₂ = -R . Its power is P₂ = ( -

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