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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 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

(Rμ1μ2)

b

(2Rμ2μ1)

c

R2(μ2μ1)

d

R2(μ1+μ2)

answer is A.

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Detailed Solution

From the lens maker formula for plano convex lens,  1f1=(μ11)(1R)
For plano cancave lens  1f2=-(μ21)(1R)
For the combination,  1feq=1f1+1f2=(μ1μ2)(1R)
This gives us  feq=Rμ1μ2
 

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