Physics
Fluid-Mechanics
Easy

Question

A wooden cylinder of diameter 4r, height h and density rho over 3 is kept on a hole of diameter 2r of tank, filled with liquid of density rho
The block in the above question is maintained at the position by external means and the level of liquid is lowered. The height h2 when this external force reduces to zero is

  1. fraction numerator 4 h over denominator 9 end fraction
  2. fraction numerator 5 h over denominator 9 end fraction
  3. Remains same       
  4. fraction numerator 2 h over denominator 3 end fraction

The correct answer is: fraction numerator 4 h over denominator 9 end fraction


    On equating the forces, we get (for equilibrium)  h subscript 2 equals fraction numerator 4 h over denominator 9 end fraction
    P subscript 0 A subscript 1 plus rho over 3 g h A subscript 1 equals P subscript 0 A subscript 2 plus open parentheses P subscript 0 plus rho g h subscript 2 close parentheses A subscript 3

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