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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

Two cylindrical vessels A and B of different areas of cross-section kept on same horizontal plane are filled with water to the same height. If the volume of water in vessel Ais 3 times the volume of water in vessel B, then the ratio of the pressures at the bottom of the vessels A and B is

  1. A \(1: 1\)
  2. B \(1: 3\)
  3. C \(1: 9\)
  4. D \(1: 6\)
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Correct Answer

(A) \(1: 1\)

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Detailed explanation

\(\begin{aligned} & \mathrm{V}_1=3 \mathrm{~V}_2 \\ \Rightarrow & \mathrm{~A}_1 \mathrm{~h}=3 \mathrm{~A}_2 \mathrm{~h} \\ \therefore & \mathrm{~A}_1=3 \mathrm{~A}_2 \end{aligned}\) \(\therefore \quad\) Pressure at the bottom of the vessel is…
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