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Question

A double convex lens is made of a glass of refractive index 1.55, with both faces of the same radius of curvature. Find the radius of curvature required, if the focal length is 20cm.

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Solution

Double convex lenses are to be manufactured with both a glass of same refractive index and same radius of curvature.
Given μ=1.55 and one glass radius be R1=R while other be R2=R
Focal length f=20cm
Now
1f=(μ1)[1R11R2]=(μ1)[1R+1R]=1.1R
So, radius of curvature R=22cm

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