A sealed glass jar is full of water.
When water is cooled to \(0^\circ\text{C}\), it begins to freeze and form ice.
Water has an anomalous property.
When water changes into ice, its volume increases.
Since the jar is sealed and already full, there is no extra space available for expansion.
As ice forms, it exerts pressure on the walls of the glass jar.
Because glass is brittle, it cannot withstand this large pressure.
Therefore, the glass jar breaks due to expansion during ice formation.
Hence, the correct answer is:
\[
\text{The glass jar breaks due to the formation of ice}.
\]