#JEEAdvanced

Following is the question asked in JEE Advanced 2016. This is the updated solution.

Q. 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 =root(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 'w' (omega). The angular momentum of the entire assembly about the point 'O' is L.
Which of the following statement (s) is (are) true ?
(A) The magnitude of the z-component of L is 55 ma^2(w).
(B) The magnitude of angular momentum of the assembly about its centre of mass is 17 ma^2(w/2).
(C) The magnitude of angular momentum of centre of mass of the assembly about the point O is 81ma^2(w).
(D) The centre of mass of the assembly rotates about the z-axis with an angular speed of (w/5).

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