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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

A hydraulic lift is shown in the figure. The radii of the movable pistons \(P_1\) and \(P_2\) are of \(2 \mathrm{~m}\) and \(8 \mathrm{~m}\) respectively. If a body of mass \(2 \mathrm{~kg}\) is placed on piston \(P_1\) then the force on piston \(P_2\) is
(Ignore atmospheric pressure, acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )

  1. A \(320 \mathrm{~N}\)
  2. B \(80 \mathrm{~N}\)
  3. C \(1280 \mathrm{~N}\)
  4. D \(20 \mathrm{~N}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(320 \mathrm{~N}\)

Step-by-step Solution

Detailed explanation

In a hydraulic machine pressure at both pistons is same. Pressure at piston \(P_1=\) Pressure at piston \(P_2\) \(\Rightarrow \frac{\text { Force on } P_1}{\text { Area of } P_1}=\frac{\text { Force on } P_2}{\text { Area of } P_2}\) \(\Rightarrow\) Force on…