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A particle of mass m is moving at speed v perpendicular to a rod of length d and mass M = 6m which pivots around a frictionless axle running through its centre. It strikes and sticks to the end of the rod. The moment of inertia of the rod about its centre is M d to the power of 2 end exponent divided by 12. Then the angular speed of the system just after the collision is

  1. 2v/3d    
  2. 2v/d    
  3. v/d    
  4. 3v/2d    

The correct answer is: 2v/3d

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