Correct Answer - C
In Fig. weight `mg` of the mass acts vertically downwards and tension `T` in the string acts along `KP`. Two rectangular componets of `T` are `T cos theta` opposite to mg and `T sin theta` along `KO`.
About `O`, torques due to `T cos theta` and `mg` cancel out. Torque due to `T sin theta` is zero. Therefore, net torque about `O` is zero.
As `tau_(0) = (dL_(0))/(dt)`, therefore, `overset rarr(L_(0)) = `constant
i.e. `overset rarr(L_(0))` does not very time.
About `P`, torque due to T is zero, but torque due to `mg != 0`.
As `tau_(P) (dL_(P))/(dt) != 0`
`:. overset rarr(L_(P))` is not constant. It varies with time.
Choice (c) is correct.