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A
True
B
False
Understanding the Answer
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Answer
The statement is incorrect. In hydrostatic equilibrium the pressure at a depth \(h\) is given by \(P = P_0 + \rho g h\), where \(\rho\) is the fluid density, \(g\) the gravitational acceleration, and \(P_0\) the pressure at the surface. Thus the pressure depends on both the depth and the density of the fluid; a denser fluid exerts more pressure at the same depth. For example, a 10‑meter column of water (density 1000 kg/m³) creates a pressure of about 1 MPa at the bottom, while a 10‑meter column of mercury (density 13 600 kg/m³) creates roughly 13. 6 MPa, showing the dependence on density.
Detailed Explanation
Pressure at a given depth comes from the weight of the fluid above, but that weight is calculated from both the amount of fluid (height) and how heavy each unit of fluid is (density). Other options are incorrect because The belief that only the weight of the liquid matters ignores how dense the liquid is.
Key Concepts
Hydrostatic Equilibrium
Fluid Pressure
Density Variation
Topic
Hydrostatic Equilibrium
Difficulty
easy level question
Cognitive Level
understand
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