An object is placed 
infront of a convex lens of focal length 
made of a material of refractive index 1.5 . The surface of the lens away from the object is silvered. If the radius of curvature of the silvered surface is 22 
, then the distance of the final image from the silvered surface is
Text Solution
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Given,
Focal length of convex lens, 
Object distance, 
Radius of curvature of silvered surface, 
Focal length of the lens is 
.
So, the power of lens, 
Focal length of concave mirror,
[As 
…… ..(i)
Therefore, the power of the mirror,
Total power + Power of lens + Power of mirror Light first enters ines then reflected back by mirror finally it passes through lens again be for forming image.
From Eqs. (i), (ii) and (iii), we get
The focal length of equivalent mirror for whole image formation,
Using mirror formula,
Hence, the distance of final image from the silvered surface is. 
.
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