# 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 : Option 1) Option 2) Option 3) Option 4)

Applying conservation of angular momentum

Option 1)

Option 2)

Option 3)

Option 4)

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