Question

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

A
2RM2M1
B
R2(M2+M2)
C
R2(M1M2)
D
R(M1M2)1
Solution
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#### 1F=(μ1,−1)(−1R)1F−(μ2−1)(1R)1re=−μ1R+1R+μ2R−1R1FC=μ2−μ1RF=Rμ2−μ1 Hence option (D) is correct

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