Mass M is distributed over the rod of length L. If linear mass density `(lambda)` of the rod is linearly increasing with length as l = Kx, where x is measured from one end as shown in figure & K is contant. The moment of inertia. of the rod about the end perpendicular to rod where linear mass density is zero.

Options

A. `(ML^(2))/(3)`
B. `(ML^(2))/(12)`
C. `(2)/(3)ML^(2)`
D. `(KL^(4))/(4)`

Answer

D