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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 of sphere `=` Upthrust due of `Hg+` thrust due to oil,
i.e.,

`Vdg=V/2d_(Hg)g+V/2d_("oil")xxg`
`impliesd=(d_(Hg)+d_("oil"))/2`
`=(13.6+0.8)/2=7.2g//cm^(3)`
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