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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

A hydraulic lift is shown in the figure. The movable pistons \(A, B\) and \(C\) are of radius \(10 \mathrm{~cm}, 100 \mathrm{~m}\) and \(5 \mathrm{~cm}\) respectively. If a body. of mass \(2 \mathrm{~kg}\) is placed on piston \(A\), the maximum masses that can be lifted by piston \(B\) and \(C\) are respectively.

  1. A \(200 \mathrm{~kg}\) and \(500 \mathrm{~kg}\)
  2. B \(20 \mathrm{~kg}\) and \(50 \mathrm{~kg}\)
  3. C \(200 \mathrm{~kg}\) and \(5000 \mathrm{~kg}\)
  4. D None of the above
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Answer & Solution

Correct Answer

(D) None of the above

Step-by-step Solution

Detailed explanation

Given, \(r_A=10 \mathrm{~cm}=0.1 \mathrm{~m}\) \(\begin{aligned} & r_B=100 \mathrm{~m} \\ & r_C=5 \mathrm{~cm}=0.05 \mathrm{~m}\end{aligned}\) weight placed on piston \(A=m \times g\) \(=2 \mathrm{~g}\) Using Pascal's law; \(\frac{F_A}{A_A}=\frac{F_B}{A_B}=\frac{F_C}{A_C}\)…
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