Class 11PhysicsFluid Mechanics and Surface TensionBuoyancy, Archimedes' Principle and Laws of Floatation
DifficultAs shown in the figure,a container is filled with a liquid of density $2d$ up to a height of $H/2$ and a liquid of density $d$ above it up to a height of $H/2$. $A$ solid cylinder of cross-sectional area $A/5$ and length $L$ $(L < H/2)$ is placed vertically in this container. The cylinder floats vertically such that its lower end is at a distance of $L/4$ from the interface of the two liquids. Find the density $D$ of the cylinder. (The atmospheric pressure at the surface of the upper liquid is $P_0$.)
- A$5/4 d$
- B$4/5 d$
- C$Ad$
- D$d/5$
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