A thin smooth rod of length L and mass M is rotating freely with angular speed about an axis perpendicular to the rod and passing through its centre . Two beads of mass m and negligible size are at the centre of the rod initially. The beads are free to slide along the rod . The angular speed of the system , when the beads reach the opposite ends of the rod will be :
Applying conservation of angular momentum
Option 1)
Option 2)
Option 3)
Option 4)
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