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Q.

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

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a

Rμ1−μ2

b

2Rμ2−μ1

c

R2μ1−μ2

d

R2−μ1+μ2

answer is A.

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Detailed Solution

1F = 1f1+1f2 ⇒1F=μ1−11∞+1R+μ2−11−R−1∞               =μ1−μ2R  ⇒ F=Rμ1−μ2
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