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  4. A convergent beam of light is incident on a convex mirror so as to converge to a distance 12 cm from the pole of the mirror. An inverted image of the same size is formed coincident with the virtual object. What is the focal length of the mirror?

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Q. A convergent beam of light is incident on a convex mirror so as to converge to a distance 12cm from the pole of the mirror. An inverted image of the same size is formed coincident with the virtual object. What is the focal length of the mirror?

Haryana PMTHaryana PMT 2010

Solution:

Here object and image are at the same position so this position must be centre of curvature
∴
\Rightarrow f =\frac{ R }{2}=\frac{12}{2}=6\, cm
image