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Karthik kannan Grade: 12

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.

7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points

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


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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7 years ago
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