JEE (Advanced) 2016 Paper-2 Question 7

Question 7

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a mass less, rigid rod of length $$l = 24\sqrt{24} a$$ through their centers. 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 $$\overrightarrow{L}$$ (see the figure). Which of the following statement(s) is(are) true?

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