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A boat floats on water with three fourth...

A boat floats on water with three fourth of its volume inside water. Density of water is `10^(3)kg//m^(3)` find the density of the material of the boat.

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Verified by Experts

In case of a floating body of volume V and density `rho`.
Weight of the body `W`= upthrust acting on it due to liquid `F_(B)`
or `Vrhog=V_("in")sigmag(V_("in")` is the volume of the body inside the liquid of density `sigma` while floating) or `(V_("in"))/(V)=(rho)/(sigma)`
Fraction `(V_("in"))/(V)=(rho)/(sigma)`
Fraction `(V_("in")//V)` of the volume of the body inside the liquid i.e, `f_("in")=(rho)/(sigma)`
Here as `f_("in")=(3)/(4),3//4(rho)/(10^(3)kg//m^(3))`
or `rho=(3)/(44)(10^(3)kg//m^(3))=0.75xx10^(3)kg//m^(3)`
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