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A non uniform cylinder of mass m, length 1 and radius r is having its centre of mass at a distance 1/4 from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density rho. The moment of inertia of the rod about the centre of mass is I. The angular acceleration of point A relative to point B just after the rod is released from the position shown in figure is

  1. fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator I end fraction    
  2. fraction numerator pi rho g 1 to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction    
  3. fraction numerator pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 2 I end fraction    
  4. fraction numerator 3 pi rho g l to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction    

The correct answer is: fraction numerator pi rho g 1 to the power of 2 end exponent r to the power of 2 end exponent over denominator 4 I end fraction

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