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A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor. Initially it stands vertically. It is allowed to fall freely on the floor in the vertical plane. The angular velocity of the rod when its end B strikes the floor is

  1. square root of fraction numerator g over denominator L end fraction end root    
  2. square root of fraction numerator 2 g over denominator L end fraction end root    
  3. square root of fraction numerator 3 g over denominator L end fraction end root    
  4. square root of fraction numerator g over denominator L end fraction end root    

The correct answer is: square root of fraction numerator 3 g over denominator L end fraction end root

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