Question

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is
$\rho_i = 0.917 \,g\,cm^{-3}$ ?

• A. 0.917
• B. 1
• C. 0.458
• D. 0

Answer 1

Answer: (A)

Let $V$ be the total volume of the iceberg and $V'$ of its volume be submerged into water
Floatation condition weight of iceberg = Weight of water displaced by submerged part by ice
$V \rho_{i} g=V' \rho_{w} g $
$\Rightarrow V' / V=\rho_{i} / \rho_{w}$
$=0.917 / 1=0.917$