JEE Physics · Hard

Ray Optics: Aplanatic Points MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Aplanatic PointsHardQuestion 20252

Question

Aplanatic points of a refracting sphere (radius R, index n) are at distances:
  1. A
    R and nR from the centre on the same side
  2. B
    R/n and nR from the centre
    Correct
  3. C
    R and R/n from the surface
  4. D
    nR and R/n from the centre on same side

Correct answer

R/n and nR from the centre

Explanation

For a sphere of radius R and index n, aplanatic points (points with no spherical aberration) are at distances R/n from centre on one side and nR from centre on the other side. Used in oil-immersion microscope objectives to reduce aberration.