A body of density - is immersed in a liquid of density -L- State condition when the body will float on the liquid surface-

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A body of den...

Question

A body of density $ρ$ is immersed in a liquid of density $ρ_{L}$ . State condition when the body will float on the liquid surface.

ρ < ρ_{L}

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ρ = ρ_{L}

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ρ > ρ_{L}

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None of the above

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Solution

The correct options are
A $ρ < ρ_{L}$
B $ρ = ρ_{L}$
The Law of Flotation says that for a floating object, the weight of the object equals the weight of the liquid displaced by the object. We prove this by using Archimedes' Principle with Newton's Second law applied to an object in equilibrium (floating). So, for body to float its density must be less than or equal to the density of liquid.
i.e. $ρ \leq ρ_{l}$

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A body of density ρ is immersed in a liquid of density ρL. State condition when the body will float on the liquid surface.

A body of density $ρ$ is immersed in a liquid of density $ρ_{L}$ . State condition when the body will float on the liquid surface.