📚 Learning Guide
Hydrostatic Equilibrium
easy

In hydrostatic equilibrium, the pressure at a certain depth in a fluid is solely determined by the weight of the fluid above it, independent of the fluid's density.

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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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