All Problems

Photometry and Geometrical Optics

Problem 5.57

A system consists of a thin symmetrical converging glass lens with the curvature radius of its surfaces R=38 cmR=38 \mathrm{~cm} and a plane mirror oriented at right angles to the optical axis of the lens. The distance between the lens and the mirror is l=12 cml=12 \mathrm{~cm}. What is the optical power of this system when the space between the lens and the mirror is filled up with water?

Reveal Answer
 5.57. Φ=2Φ2Φ2l/n0=3.0D, where Φ=(2nn01)/R \text { 5.57. } \Phi=2 \Phi^{\prime}-2 \Phi^{\prime 2} l / n_{0}=3.0 \mathrm{D}, \text { where } \Phi^{\prime}=\left(2 n-n_{0}-1\right) / R nn and n0n_{0} are the refractive indices of glass and water.