AIEEE 2008 Solved Paper

A thin rod of length ' L′ is lying along the x-axis with its ends at x=0 and x=L. Its linear density (mass/length) varies with x as k(‌

x

L

)n, where n can be zero or any positive number. If the position XCM of the center of mass of the rod is plotted against ‌′n′, which of the following graphs best approximates the dependence of XCM on n ?