Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length `l= sqrt(24a)` through their centres. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is `omega.` The angular momentum of the entire assembly about the point 'O' is `vecL` (see the figure). Which of the following statement (s) is (are) true?