Polarisation of light (Question 2 (10 Marks)) — UPSC Physics Optional CSE 2009 Paper I

A thin dielectric cylindrical rod of cross-section A is situated along z-axis from z = 0 to z = L. The polarisation of the rod is along its length and it is given by \vec{P} = (2z^2 + 5)\hat{z}. Calculate bound volume charge density at each end of the rod.