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Q.

A plano convex lens fits exactly into a plano 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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a

Rμ1−μ2

b

2Rμ2−μ1

c

R2μ1+μ2

d

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 formula.1f1=μ1−11∞−1−R=μ1−1R1f2=μ2−11−R−1∞=μ2−1−1R=−μ2−1R∴ 1f=μ1−1R−μ2−1R1f=μ1−μ2R⇒f=Rμ1−μ2
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