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A body of mass 2.0 kg and density 8000 (...

A body of mass 2.0 kg and density 8000 `(kg)/(m^3)` is completely dipped in a liquid of density 800 `(kg)/(m^3)`. Find the force of buoyancy on it.

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The correct Answer is:
`(2)`
Mass of the body in air, `M=2.0kg`
density of the body, `d=8000kgm^(-3)`
density of the liquid `d_(1)=800kgm^(-3)`
volume of the body
`V=(M)/(d)=(2.0kg)/(8000kgm^(-3))=2.5xx10^(-4)m^(3)`
volume of liquid displaced when the body is completely dipped in it `=` volume of the body
`=2.5xx10^(-4)m^(3)`
mass of the liquid displaced,
`m=Vd_(1)=(2.5xx10^(-4)m^(3))(800kgm^(-3))=0.2kg`
weight of the liquid displaced,
`W_(1)=mg=(0.2kg)(10ms^(-2))=2N`
Force of buoyancy, `F_(B)=`W_(1)=2N`
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