A homogeneous sphere floats with half its volume immersed in mercury ( density 13 . 6 gm c c - 1 ) and the other half in oil ( density 0 . 8 gm cc - 1 ) in a vessel containing oil over mercury. What is the density of the material of the sph

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A homogeneous sphere floats with half its volume immersed in mercury ( density 13 . 6 gm c c - 1 ) and the other half in oil ( density 0 . 8 gm cc - 1 ) in a vessel containing oil over mercury. What is the density of the material of the sphere in gm cc - 1 ?

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Correct answer: C. 7 . 2

For equilibrium, the total upward pull will be equal to the downward pull. If V is the volume of the sphere, we have V ⁡ 2 1 3 . 6 g + V ⁡ 2 0 . 8 g = V ⁡ ρ g ∴ ρ = 1 3 . 6 + 0 . 8 2 g cm - 3 = 7 . 2 g cm - 3

A homogeneous sphere floats with half its volume immersed in mercury ( density 13 . 6 gm c c - 1 ) and the other half in oil ( density 0 . 8 gm cc - 1 ) in a vessel containing oil over mercury. What is the density of the material of the sphere in gm cc - 1 ?

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