A container of large uniform cross-sectional area A resting on a horizontal surface, holds two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H2 as shown in figure. The lower density liquid is open to the atmosphere having pressure P0. A homogeneous solid cylinder of length
L(L<H2) cross-sectional area
A5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with the length
L4 in the denser liquid. The total pressure at the bottom of the container is given as
p=po+xH+L4. Find
x.
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