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A vessel contains oil (density= 0.8 g/cc) over mercury (dens=13.6 g/cc). A homogenous shphere floats with half its volume immersed in mercury and the other half in oil the density of the material n gm/cc is _____
please explain your answer too.
PS.- one of my main doubts is whether oil will exert any buoyant force on the sphere.
Dear Karthik Kannan,
Ans:- The total weight is balanced by the displaced volumess of the two different fluids. Let it,s Vol is V and the density is n. Then the equilibrium condition should be
Vng=V/2(0.8)g+V/2(13.6)g
or n=0.4+6.8=7.2 gm/cc(ans)
Regarding to your 2nd qsn you can just see that we have taken the sum of the two buoyant forces.So, everyone should have it's own contribution
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