Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

A solid cylinder with density $\rho_c$, cross-sectional area $A$ and length $X$ is completely immersed in a liquid of density $\rho_L$. The top face of the cylinder lies at a depth $H$ beneath the liquid surface, as illustrated. The acceleration of free fall is $g$. Which expression gives the magnitude of the upthrust force acting on the cylinder?

  • A$\rho_c A H g$
  • B$\rho_c A X g$
  • C$\rho_L A H g$
  • D$\rho_L A X g$

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