A vessel contains oil (density 0 . 9 g cc - 1 ) over mercury (density 13 . 6 g cc - 1 ). A homogeneous sphere floats with one-third of its volume immersed in mercury and the rest immersed in oil. The density of the material of the sphere in g cc - 1 is

Question

A vessel contains oil (density 0 . 9 g cc - 1 ) over mercury (density 13 . 6 g cc - 1 ). A homogeneous sphere floats with one-third of its volume immersed in mercury and the rest immersed in oil. The density of the material of the sphere in g cc - 1 is, 3.3, 6.4, 5 .1, 12.8

MARKS App · Accepted Answer

For equilibrium, the total upward push will be equal to the downward pull. If V is the volume of the sphere, then we have V ⁡ 3 1 3 . 6 g + 2 V ⁡ 3 0 .9 g = V ⁡ ρ g ∴ ρ = 1 3 . 6 + 1 . 8 2 g cm - 3 = 5 .1 g cm - 3

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