Q107
General SciencePhysics
The immersed portion of a piece of pure ice floating in water is
- a.$\dfrac{8}{9}$th of its volume
- b.$\dfrac{9}{10}$th of its volume
- c.$\dfrac{10}{11}$th of its volume
- d.$\dfrac{11}{12}$th of its volume
Answer: (D) $\dfrac{11}{12}$th of its volume
By Archimedes' principle, the submerged fraction equals the ratio of the ice's density to water's density. Since ice has a density of about $0.917\ \text{g/cm}^3$ against water's $1\ \text{g/cm}^3$, this ratio works out to approximately $\dfrac{11}{12}$.