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AP EAMCET20226 Jul 2022Evening ShiftPhysicsMechanical Properties of FluidsActual

A hydraulic lift is shown in the figure. The radii of the movable pistons P₁ and P₂ are 2 ~m and 5 ~m respectively. If a block of mass x is placed on P₂ then the minimum mass that should be kept on P₁ to lift the block on P₂ is

Options

  1. A0.4 x
  2. B0.16 x
  3. C0.8 x
  4. D025 x

Correct answer

B. 0.16 x

Step-by-step solution

Given r₁=2 ~m , r₂=5 ~m According to Pascal's law aligned p₁ & =p₂ F₁ A₁ & = F₂ A₂ m₁ g r₁^2 & = m₂ g r₂^2 aligned array rlrl & & m₁ r₁^2 & = m₂ r₂^2 & m₁ 2^2 & = x 5^2 & & m₁ & = 4 25 x & & =0.16 x array

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