A container of a large uniform cross sectional area A strong on horizontal surface holds two immiscible, non viscous and incompressible liquids of densities `d` and `2d`, each of height `H//2` as shown in the figure. The lower density liquid is open to atmosphere. A homogeneous solid cylinder of length `L(LgtH//2)`, cross sectional area `A//5` is immersed such that it floats with its axis vertical of the liquid liquid interface wit length `L//4` in the denser liquid. Determine a density `D` of the solid and `b` the total pressure at the bottom of the container (atmosphere pressure `=P_(0)`).

A container of a large uniform cross sectional area A strong on horizontal surface holds two immiscible, non viscous and incompressible liquids of densities `d` and `2d`, each of height `H//2` as shown in the figure. The lower density liquid is open to atmosphere. A homogeneous solid cylinder of length `L(LgtH//2)`, cross sectional area `A//5` is immersed such that it floats with its axis vertical of the liquid liquid interface wit length `L//4` in the denser liquid. Determine a density `D` of the solid and `b` the total pressure at the bottom of the container (atmosphere pressure `=P_(0)`).


A
`(5)/(4)d`
B
`(4)/(5)d`
C
d
D
`(d)/(5)`
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The correct Answer is:
A
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