All Problems

Photometry and Geometrical Optics

Problem 5.40

There are two thin symmetrical lenses: one is converging, with refractive index n1=1.70,n_{1}=1.70, and the other is diverging with refractive index n2=1.51.n_{2}=1.51 . Both lenses have the same curvature radius of their surfaces equal to R=10 cmR=10 \mathrm{~cm}. The lenses were put close together and submerged into water. What is the focal length of this system in water?

Reveal Answer
f=n0R/2(n1n2)=35 cm, where n0 is refractive index of waterf=n_{0} R / 2\left(n_{1}-n_{2}\right)=35 \mathrm{~cm}, \text { where } n_{0} \text { is refractive index of water}