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A body of uniform cross-section remains ...

A body of uniform cross-section remains floating in a liquid. The density of the liquid is 3 times that of the body. What part of that body remains outside the liquid?

Text Solution

Verified by Experts

Let the volume of the body be V, density be `rho` and density of the liquid be `3rho`.
Let us assume that x part of the body remains immersed in the liquid.
So, according to the condition of floatation,
weight of the body = weight of displaced liquid
or, `Vrhog=Vx*3rho*gor,x=1/3`
`therefore(1-1/3)or2/3` part of the body remains outside the liquid.
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