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Q.

A vessel contains oil (density = 0.8 g/cm3) over mercury (density =13.6 g/cm3). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in g/cm3 is

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a

3.3

b

6.4

c

7.2

d

12.8

answer is C.

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Detailed Solution

Weight = buoyant force =V2ρHgg+V2ρoil g∴ ρ=ρHg+ρoil2=13.6+0.82=14.42=7.2
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