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.

Answer

60