1.

Density of ice is `900 kg//m^(3)`. A piece of ice is floating in water of density `1000kg//m^(3)`. Find the fraction of volume of the picec of ice outside the water.

Answer» Let V be the total volume and `V_(1)` the volume of ice piece immersed in water. For equilibrium of ice piece,
weight =upthrust
`therefore " " V rhoig=V_(i) rho_(w)g`
Here, `rho_(i)`=density of water`=900 kgm^(-3)`
and `rho_(w)`=density of water `=1000kgm^(-3)`
Substituting in Eq. (i), we get
`(V_(i))/(V)=(rho_(i))/(rho_(w))=(900)/(1000)=0.9`
i.e., the fraction of volume outside the water, f=1-0.9=0.1


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