A tank contains oil of specific gravity of 0.9, The depth of the point below free surface is (where, the pressure intensity is 9 kg(f)/cm2)

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BPSC AE Paper IV General Engineering 19 Dec 2024 Official Paper
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  1. 10 m
  2. 1 m
  3. 100 m
  4. 1000 m

Answer (Detailed Solution Below)

Option 3 : 100 m
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Detailed Solution

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Concept:

Pressure at a depth in a fluid is given by:

\( P = \rho g h \)

Where,

  • \( P \) = pressure intensity (in N/m²)
  • \( \rho \) = density of fluid
  • \( g \) = acceleration due to gravity = 9.81 m/s²
  • \( h \) = depth

Calculation:

Given specific gravity: \( SG = 0.9 \Rightarrow \rho = 0.9 \times 1000 = 900~kg/m^3 \)

Pressure: \( P = 9~kgf/cm^2 = 9 \times 10^4~kgf/m^2 \)

\( 1~kgf = 9.81~N \Rightarrow P = 9 \times 10^4 \times 9.81 = 8.829 \times 10^5~N/m^2 \)

\( h = \frac{P}{\rho g} = \frac{8.829 \times 10^5}{900 \times 9.81} = 100~m \)

 

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