Physics 9702 · AS & A Level · Density and pressure

Density and pressure — practice question

The diagram depicts a sphere at rest which is just completely submerged in a liquid. The sphere has radius $r$ and the liquid has density $\rho$. The acceleration of free fall is $g$. The air applies pressure $P_A$ to the liquid surface. What is the pressure at the lowest point of the sphere?

  • A$P_A + \frac{4}{3}\pi r^3 \rho g$
  • B$P_A - \frac{4}{3}\pi r^3 \rho g$
  • C$2r\rho g + P_A$
  • D$2r\rho g - P_A$

Worked solution & mark scheme

This 1-mark question has a full step-by-step worked solution and mark scheme.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI