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 \(2 \mathrm{~m}\) and \(5 \mathrm{~m}\) respectively. If a block of mass \(x\) is placed on \(P_2\) then the minimum mass that should be kept on \(P_1\) to lift the block on \(P_2\) is
- A \(0.4 x\)
- B \(0.16 x\)
- C \(0.8 x\)
- D \(025 x\)
Answer & Solution
Correct Answer
(B) \(0.16 x\)
Step-by-step Solution
Detailed explanation
Given \(r_1=2 \mathrm{~m}, r_2=5 \mathrm{~m}\) According to Pascal's law \[ \begin{aligned} p_1 & =p_2 \\ \frac{F_1}{A_1} & =\frac{F_2}{A_2} \\ \Rightarrow \quad \frac{m_1 g}{\pi r_1^2} & =\frac{m_2 g}{\pi r_2^2} \end{aligned} \]…
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