Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

For a change in depth $\Delta h$ within a liquid of density $\rho$, the corresponding change in pressure $\Delta p$ is given by $\Delta p = \Delta h\rho g$, where $g$ represents the acceleration of free fall. Which equation, or principle of physics, is used to derive this formula?

  • Aatmospheric pressure decreases with height
  • Bchange in gravitational potential energy $= \text{mass} \times g\Delta h$
  • C$\rho = \dfrac{\text{mass}}{\text{volume}}$
  • Dthe density of a fluid increases with depth

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