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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Lens maker’s formula

A biconvex lens in a liquid

A thin lens has refractive index 1.60 and radii R₁ = +0.24 m and R₂ = −0.24 m. It is immersed in a liquid of refractive index 1.20. Light travels left to right.

Find its focal length in the liquid.

Organize the givens & assumptions
  • Lens index: 1.60
  • Liquid index: 1.20
  • R₁ = +0.24 m; R₂ = −0.24 m
  • Light travels from left to right

Paraxial thin lens; same liquid on both sides. Each radius is positive when its centre of curvature is to the right of that surface.

  1. A+0.20 m+0.20\ \mathrm m
  2. B+0.30 m+0.30\ \mathrm m
  3. C−0.36 m-0.36\ \mathrm m
  4. D+0.36 m+0.36\ \mathrm m

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