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A thin plano-convex lens fits exactly into a planoconcave lens with their plane surface parallel to each other as shown in the figure. The radius of curvature of the curved surface R = 30 cm. The lenses are made of different material having a refractive index µ1 = 3/2 and µ= 5/4 as shown in the Fig.

(i) If plane surface of the plano-convex lens is coated with silver, then calculate the equivalent focal length of this system and also the nature of this equivalent mirror. 

(ii) An object having a transverse length of 5 cm in placed on the axis of equivalent mirror (in par 1) at a distance 15 cm from the equivalent mirror along the principal axis. Find the transverse magnification produced by the equivalent mirror.

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Focal length of Plano - concave lens

(i) Plane surface of Plano-convex lens is silvered. So the equivalent focal length of the system,

Focal length = 60 cm 

The equivalent system behaves as a convex mirror.

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