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Parallel rays incident on a concave mirror converge at its principal focus after reflection.
For a spherical mirror, f = R/2 = 36/2 = 18 cm.
Using 1/v + 1/u = 1/f, with u = -36 cm and f = -12 cm, v = -18 cm. Thus, the image is formed 18 cm in front.
An object at the centre of curvature forms a real, inverted image of the same size at the centre of curvature.
Using the mirror formula, v = -30 cm. Therefore m = -v/u = -(-30)/(-30) = -1.
Using 1/v + 1/u = 1/f, with u = -60 cm and f = -24 cm, v = -40 cm.
When the object lies between F and P of a concave mirror, the image is virtual, erect and enlarged behind the mirror.
Using the mirror formula with f = +20 cm and u = -30 cm gives v = +12 cm.
A convex mirror always forms a virtual, erect and diminished image for a real object.
A convex mirror provides a wider field of view and therefore allows the driver to see more area behind the vehicle.
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