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  4. An object is placed at a distance 2 f from the pole of a curved mirror (concave or convex) of focal length f . Then :

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Q. An object is placed at a distance $2 f $ from the pole of a curved mirror (concave or convex) of focal length $ f $ . Then :

Haryana PMTHaryana PMT 2005Ray Optics and Optical Instruments

Solution:

For a curved mirror, when object is placed at $2F$,
the real image of the same size as , that of object is formed at $2C$.
So, for a concave mirror $ m=\frac{-f}{-f-(-2f)}=-1 $
For convex mirror, $ m=\frac{f}{f-(-2f)}=\frac{1}{3} $