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An iceberg is floating partially immerse...

An iceberg is floating partially immersed in sea water the density of sea water is 1.03 `gm//cm^(3)` and that of ice is `0.92gm//cm^(3)` what is the fraction of the total volume of the iceberg above the level of sea-water?

Text Solution

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In case of flotation weight `=` upthrust i.e.,
`mg=V_(m)sigmagimpliesVrhog=V_("in")sigmagthereforeV_("in")=(rho)/(sigma)V` so `V_(out)=V-V_("in")=V[1-(rho)/(sigma)]`
`impliesf_(out)=(V_(out))/(V)=[1-(rho)/(sigma)][1-(0.92)/(1.03)]=(0.11)/(1.03)=0.106impliesf_(out)=10.6%`
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