A piece of ice is floating in water. The fraction of volume...

A piece of ice is floating in water. The fraction of volume of the piece of ice outside the water is:
(Given: density of ice $=900 \mathrm{~kg} / \mathrm{m}^{3}$ and density of water $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ )
(a) $0.21$
(b) $0.01$
(c) $0.1$
(d) $0.9$

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Key Concepts

Archimedes' Principle

This principle states that a body wholly or partially immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the body. It establishes the relationship between the displaced fluid and the floating or submerged state of the object, which is crucial for determining how much of an object remains above the fluid.

Density

Density is defined as the mass of a substance per unit volume. It plays a fundamental role in determining whether an object will float or sink in a fluid, as the relative densities of the object and the fluid dictate the extent to which the object will be submerged.

Buoyancy Equilibrium

Buoyancy equilibrium occurs when the upward buoyant force acting on an object equals the downward gravitational force (weight) of the object. In this state, the object floats, and the proportion of its volume submerged is directly related to the ratio of its density to that of the fluid, providing a method to calculate the exposed fraction above the fluid.

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