A piano convex lens fits exactly into a piano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices μ1 and μ2 and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is

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Rμ1−μ2

2Rμ2−μ1

R2μ1+μ2

R2μ1−μ2

answer is A.

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Detailed Solution

The combination of two lenses 1 and 2 is as shown in figure.∴ 1f=1f1+1f2According to lens maker's formula1f1=μ1−11∞−1R=μ1−1R 1f2=μ2−11−R−1∞ =μ2−1−1R=−μ2−1R ∴ 1f=μ1−1R−μ2−1R 1f=μ1−μ2R f=Rμ1−μ2

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