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  4. A convergent beam of light converges to a point 20 cm behind the convex mirror on the principal axis. An inverted image of the same size is formed coincident with the virtual object. Then, the focal length of the convex mirror is

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Q. A convergent beam of light converges to a point $20 \,cm$ behind the convex mirror on the principal axis. An inverted image of the same size is formed coincident with the virtual object. Then, the focal length of the convex mirror is

Ray Optics and Optical Instruments

Solution:

$\frac{1}{20}+\frac{1}{20}=\frac{1}{f}$ or $\frac{1}{f}=\frac{1}{10}$ or $f=10\, cm .$