A lens has two convex surfaces (both surfaces bulge at the middle).The left surf

Question

A lens has two convex surfaces (both surfaces bulge at the middle).The left surface has a radius of curvature whose magnitude is10.0 cm and the right surface has a radius ofcurvature whose magnitude is 13.0 cm. The index of refractionof the lens is 1.41. (a) What is the focal length of the lens forlight traveling from left to right? (b) What is the focal length ofthe lens for light traveling from right to left?

Explanation / Answer

A lens has two convex surfaces (both surfaces bulge at the middle).The left surface has a radius of curvature whose magnitude is10.0 cm and the right surface has a radius ofcurvature whose magnitude is 13.0 cm. The index of refractionof the lens is 1.41. (a) What is the focal length of the lens forlight traveling from left to right? 1/f=(-1)(1/R1-1/R2)=(1.41-1)(1/10-1/13)=>f=105.69cm (b) What is the focal length of the lens for light traveling fromright to left? 1/f=(-1)(1/R1-1/R2)=(1.41-1)(1/13-1/10)=>f=-105.69cm

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