Physics
Fluid-Mechanics
Easy

Question

A solid sphere of radius ' R ' has a concentric cavity of radius 'R/2' inside it. The sphere is found to just float in water with the highest point of it touch the water surface. The specific gravity of the material of the sphere is

  1. 1
  2. 7/8
  3. 8/7
  4. 8/9

The correct answer is: 8/7


    V subscript text cavity  end text end subscript over V subscript s equals fraction numerator V subscript s minus V subscript text meta  end text end subscript over denominator V subscript s end fraction equals 1 minus V subscript text metal  end text end subscript over V subscript s equals 1 minus d subscript w over d equals 1 minus fraction numerator 1 over denominator S. G end fraction

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