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AP EAMCET20227 Jul 2022Morning ShiftPhysicsMechanical Properties of FluidsActual

The movable cylindrical pistons P₁ and P₂ of a hydraulic lift are of radii 2 ~m and R respectively. A body of mass 32 ~kg on piston P₂ is supported by a body of mass 2 ~kg placed on piston P₁ . The value of R is

Options

  1. A8 ~m
  2. B32 ~m
  3. C2 ~m
  4. D16 ~m

Correct answer

A. 8 ~m

Step-by-step solution

The pistons P₁ and P₂ of a hydraulic lift are shown below Using Pascal's law, pressures at piston P₁ and P₂ will be equal array ll & F₁ A₁ = F₂ A₂ & 32 g R^2 = 2 g (2^2 . array aligned & & 32 2 & =R^2 or & & R & =8 ~m aligned

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