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 μ$$1$$ and μ$$2$$ and R is the radius of curvature of the curved surface of the lenses, then focal length of the combination is

Question

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 μ$$1$$  and μ$$2$$ and R is the radius of curvature of the curved surface of the lenses, then focal length of the combination is

Infinity Learn · Accepted Answer

$$1F$$ $$=$$ $$1f1+1f2$$ ⇒$$1F=$$μ$$1$$−$$11$$∞$$+1R+$$μ$$2$$−$$11$$−R−$$1$$∞               $$=$$μ$$1$$−μ$$2R$$  ⇒ $$F=R$$μ$$1$$−μ$$2$$

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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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