a cubical box is floating in a liquid with one third of its volume in liquid. If whole system accelerates upwards with acceleration =g/4 the fraction of volume immersed in liquid is
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According to the Archemedes principal
when body floats over the liquid,
Weight of the body = upthrust
weight of the body is define as = Vρg
where v is volume of the body and ρ is the density of the liquid.
upthrust = Vlσg
where Vl is the volume of the liquid displaced and σ is the density of the liquid.
Vρg = VlσgVρ = Vlσ
so volume of the body in liquid only depends on the densities of the two.
It will not be get affected when system moves upward or down word.
hence volume in the liquid will remain half.
when body floats over the liquid,
Weight of the body = upthrust
weight of the body is define as = Vρg
where v is volume of the body and ρ is the density of the liquid.
upthrust = Vlσg
where Vl is the volume of the liquid displaced and σ is the density of the liquid.
Vρg = VlσgVρ = Vlσ
so volume of the body in liquid only depends on the densities of the two.
It will not be get affected when system moves upward or down word.
hence volume in the liquid will remain half.
harsh061202:
so only of half volume would be immersed
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