First slide

Fluid statics

Question

Select the wrong statement.
when a body of density $ρ$ and volume V is floating in a liquid of density $ρ^{I}$

Moderate

A

Its true weight is $ρ$ Vg
B

loss in its weight is $ρ^{I}$ Vg
C

its apparent weight is zero
D

$ρ$ < $ρ^{I}$

Solution

If V' (<V) is the volume of the body submerged in the liquid, Then $ρ$ v'g= $ρ^{I}$ vg. Since V' < V, we can conclude $ρ$ < $ρ^{I}$ . Loss in its weight is $ρ^{I}$ V'g. which is less than $ρ^{I}$ Vg. Apparent weight is $ρ$ Vg - $ρ^{I}$ V'g = 0

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