Question

A body of volume V and density floats with volume v inside the liquid of density​

Answer 1

Explanation:

To prove:  Vv=ρLρs

Consider :

V to be the volume of the body having density ρs

′v′ to be the volume of the body when immersed in a liquid having density ρL

The weight of the body can be given by:

W= volume of the body x density of the body x g=V ρs g

Upthrust or the weight of the liquid displaced by the body is given by:

FB= volume of the liquid displaced x density of the body x g =v ρL g

We know that for floating, FB=W

⇒Vρs g=v ρL g

⇒Vv=ρLρs

Hence proved

Answer 2

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