The plane surface of a plano convex lens is silvered. If radius of curved surface is 
and refractive index is 
, then the system behaves like a concave mirror whose radius will be :
Text Solution
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Let the image of an object at 
is formed at the same point as shown in figure. The distance of 
from the plane surface is 
. The rays suffer refraction at first surface (curved) as they reach lens. Afterwards become parallel and gets reflected form plane surface and so retrace the path and image is formed at 
itself.
As such 
behaves as equivalent to center of curvature of equivalent concave mirror.
∴ Radius 
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