The fraction of ice submerged when it floats in fresh water is 0.9.
Given that the density of water is 1000 kg/m³ and density of ice is 0.917 gm/cm³.
Converting gm/cm³ to kg/m³ we get, 0.917 gm/cm³ = 917 kg/m³
ρ₁ = 1000 kg/m³, ρ₂ = 917 kg/m³
V₁ = volume of water displaced = xV₂, V₂ = volume of ice submerged
Archimedes principle states that, the buoyant force on the ice will be equal to the weight of the water displaced. Using this principle in the above question.
ρ₁V₁= ρ₂V₂
V₁ = ρ₂V₂/ρ₁
xV₂ = 917 V₂/1000
x = 0.9
Thus, the fraction of ice submerged in water is 0.9.
To know more about archimedes principle:
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