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Q.

A container is containing mercury and water. A uniform solid object stays at equilibrium at the interface between mercury and water such that 20% of the volume of object is in mercury. Find the density (gcc−1 ) of the object. [Density of mercury is 13.6 gcc−1, density of water is 1 gcc−1]

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answer is 3.52.

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Detailed Solution

At equilibrium,  mg=B1+B2⇒ρV1+V2g=ρ1V1g+ρ2V2g⇒ρ=ρ1V1+ρ2V2V1+V2⇒ρ=  13.6×0.2+1×0.81=  3.52  g cc−1
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