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key term - Half-life

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Definition

Half-life is the time required for a quantity to reduce to half of its initial value. It is commonly used in contexts involving exponential decay, such as radioactive decay or pharmacokinetics.

5 Must Know Facts For Your Next Test

  1. The formula for calculating half-life in terms of the decay constant $\lambda$ is $t_{1/2} = \frac{\ln(2)}{\lambda}$.
  2. In exponential decay models, half-life remains constant regardless of the initial amount.
  3. Half-life can be derived using integration techniques from the differential equation $\frac{dy}{dt} = -\lambda y$.
  4. Understanding half-life is crucial for solving problems involving decay rates and predicting future amounts.
  5. The concept of half-life applies to various fields such as physics, chemistry, biology, and environmental science.

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