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A vessel contains oil (density = 0.8 g//...

A vessel contains oil (density `= 0.8 g//cm^(3)`) over mercury (density `= 13.6 g//cm^(3)`). 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//cm^(3)` is

A

3.3

B

6.4

C

7.2

D

`12.8`

Text Solution

Verified by Experts

The correct Answer is:
C
weight =Buoyant force
`Vrho_(m)g=V/2 rho_(Hg) g+V/2 rho_(oil)`
`r_(m)=(rho_(Hg)+rho_(oil))/2=(13.6+0.8)/2=14.4/2=7.2`
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