Explain in detail the technique used for determining the age of rocks.

Determining the age of rocks is a fundamental aspect of geology and is crucial for understanding the Earth's history, the evolution of life, and various geological processes. One of the most important techniques for determining rock age is radiometric dating, which relies on the principles of radioactive decay.

Radiometric dating utilizes the concept of isotopes, which are variants of elements with different numbers of neutrons in their nuclei. Some isotopes are unstable and undergo radioactive decay, transforming into different elements over time. The rate at which this decay occurs is constant and is characterized by a half-life—the time required for half _____ ____ ___ ____ _______ ____ __________ _____.
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