A thin rod of length 'L' is lying along the x-axis with its ends at x=0 and x=L its linear (mass/length) varies with `x as k((x)/(L))^n`, where n can be zero of any positive number. If to position `x_(CM)` of the centre of mass of the rod is plotted against 'n', which of the following graphs best apporximates the dependence of `x_(CM)` on n?

Options

A.
B.
C.
D.

Answer

D