A thin plano-convax lens fits exactly into a plano concave lens with their plane surface parallel to
Channel: Doubtnut
Date: 2020-08-16

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.