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A thin plano-convax lens fits exactly in...

A thin plano-convax lens fits exactly into a plano concave lens with their plane surface parallel to each other as shown in the figure.the radius of the curvature of the curved surface `R=30cm` The lens are made of different material having refractive index`mu_(1)=(3)/(2)`and `mu_(2)=(5)/(4)`as shown in the figure

(i) if plane surface of the plano -convex lens is silvered,then calculate the equivalent focal length of this system and also calculate the nature of this equivalent mirror .
(ii) An object having transverse length `5cm`is placed on the axis of equivalent mirror(in part1)`at a distance`15cm` from the equivalent mirror along principal axis.Find the transverse magnification produced by equivalents mirror.

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A thin plano-convax lens fits exactly into a plano concave lens with their plane surface parallel to each other as shown in the figure.the radius of the curvature of the curved surface R=30cm The lens ar made of different material having refractive index mu_(1)=(3)/(2) and mu_(2)=(5)/(4) as shown in the figure (i) if plane surface of hte plano -convex lens is silvered,then calculate the equivalent focal length of this system and also calculate the nature of the is equivalent mirror . (ii) An object having transverse length 5cm inplaced ont he axis of equivalenet mirror(in part1) at a distance 15cm from the equivalent mirror alone principal axis.Find teh transverse magnification prodcuied by equivalents mirror.

The convex surface of a plano-convex lens is silvered and the radius of curvature of this surface is R. Find the focal length of the system:

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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 materials refractive indices mu_(1) and mu_(2) and R is the radius curvature of the curved surface of the lenses, the focal length of the combination is