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AP EAMCET201822 Apr 2018Evening ShiftPhysicsMechanical Properties of FluidsActual

A spherical body of density is floating half immersed in a liquid of density d . If is the surface tension of the liquid, then the diameter of the body is

Options

  1. A3 g(2 -d)
  2. B6 g(2 -d)
  3. C4 g(2 -d)
  4. D12 g(2 -d)

Correct answer

A. 3 g(2 -d)

Step-by-step solution

Weight of body = Buoyant force + Force of surface tension aligned 4 3 r^3 g & = 2 3 r^3 d g+2 r 2 3 r^3 g(2 -d) & =2 r aligned So, r^2= 3 g(2 -d) So, r= 3 g(2 -d)

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