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A vessel contains oil (density =0.8gm//c...

A vessel contains oil (density `=0.8gm//cm^3`) over mercury (density `=13.6gm cm^3`). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in `gm//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 `V/2rho_(Hg)g+V/2rho_("oil")g`
`:. rho=(rho_(Hg)+rho_("oil"))/2=(13.6+0.8)/2=14.4/2=7.2`
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