The centre of mass of a non-uniform rod of length L whose mass per unit length $\mathrm{\lambda }$ varies as $\mathrm{\lambda } = \frac{\mathrm{k}.{\mathrm{x}}^2}{\mathrm{L}}$ where k is a constant and x is the distance of any point on rod
from its one end, is (from the same end)

• A

  $\frac{3}{4}\mathrm{L}$

• B

  $\frac{1}{4}\mathrm{L}$

• C

  $\frac{\mathrm{k}}{\mathrm{L}}$

• D

  $\frac{3\mathrm{k}}{\mathrm{L}}$