The adjacent figure shows a non-uniform metre stick AB having the linear mass density variation `lambda = lambda_(0) x` , where `lambda_(0)` is a constant and x is the distance from end A, placed on a smooth horizontal surface. In the first experiment, the rod is pivoted at A and force F is applied perpendicular to the rod at the other end B and in the second experiment, the rod is pivoted at B and the force is applied perpendicular to the rod at the end A. If in the first case angular acceleration is `alpha_(A)` and in the second case it is `alpha_(B)` then

Options

A. `alpha_(A) = alpha_(B)`
B. `alpha_(A) gt alpha_(B)`
C. `alpha_(A) lt alpha_(B)`
D. data insufficient to determine

Answer

C