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A cylindrical vessel of base radius $R$ and height $H$ has a narrow neck of height $h$ and radius $r$ at one end (see figure). The vessel is filled with water (density $\rho_w$ ) and its neck is filled with immiscible oil (density $\rho_0$ ). Then, the pressure at
  • A$M$ is $g\left(h \rho_0+H \rho_w\right)$
  • B$N$ is $g\left(h \rho_0+H \rho_w\right) \frac{r^2}{R^2}$
  • C$M$ is $g H_w$
  • D$N$ is $g \frac{\rho_w H R^2+\rho_0 h r^2}{R^2+r^2}$
KVPY 2017, Diffcult
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