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Floating and Sinking

A solid of de...

Question

A solid of density 'D' is floating in a liquid of density 'd' if 'v' is the volume of solid submerged in the liquid and V is the total volume of the solid .What is volume of the solid, What is the value of v/V ?

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Solution

From Archimedes' principle-

Weight of liquid displaced= weight of floating weight

$⟹ v d g = V D g$

$⟹ \frac{v}{V} = \frac{D}{d}$

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