The figure below depicts a concave mirror with center mirror with center of curvature C focus F, and a horizontally drawn OFC as the optic axis. The radius of curvature is R(OC=R) and OF=R//2). A ray of light QP, parallel to the optical axis and at a perpendicular distance (wleR2) from it, is incident on the mirror at P. It is reflected to the point B on the optical axis, such that BF=k. Here k is a measure of lateral aberrotion (a) Express k in terms of {w,R}.k="___________________" (b) Sketch k vs w for w in[0,R//2] (c) Consider points P_(1)P_(2)...........P_(n) on the concave mirror which are increasingly further away from the optic centre O and approximately equidistant from each other (see figure below). Rays parallel to the optic axis are incedent at P_(1),P_(2).........P_(n) and reflected to points on the optic axis. Consider the points where these rays reflected from P_(n),P_(n-1),............P_(2) intersect the rays reflected from P_(n-1),P_(n-2),.......P_(1) respectively. Qualitatively sketch the locus of these points in figure below for a mirror (shown with solid line) with radius of curvature 2 cm.