How is the Mirror Formula derived?Explain.
In the figure shown above, an object AB is placed at a distance u from the pole of the concave mirror of a small aperture, just beyond the centre of curvature. Hence, its real, inverted and diminished image A’B’ is formed at a distance v in front of the mirror.
According to Cartesian sign convention,
Object distance (PB) = -u
Image distance (PB’) = -v
Focal length (PF) = -f
Radius of curvature (PC) = -R
It is clear from the geometry of figure, right angle ABP and A’B’P’ are similar.
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