Convex mirrors are widely installed inside supermarkets and at road junctions to increase visibility.
(i) Explain, with the help of two labelled ray sketches, how a convex mirror provides a larger field of view than a plane mirror of the same aperture.
(ii) State two advantages and two disadvantages of using a convex mirror instead of a plane mirror for surveillance purposes.
(iii) How does decreasing the radius of curvature of the convex mirror affect (a) the extent of the field of view, and (b) the size of the images formed? Justify your answer qualitatively.