The centre of mass of a non-uniform rod of length $L$ whose mass per unit length $\lambda$ varies as $\lambda = \frac{k x^3}{L^3}$ (where $k$ is a constant and $x$ is the distance of any point on the rod from one end) is at a distance from the same end equal to:
- A$\frac{4}{5} L$
- B$\frac{1}{4} L$
- C$\frac{k}{L}$
- D$\frac{3k}{L}$
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