Half-life (tΒ½) is the time for a quantity to decrease by 50%. It applies to radioactive decay, drug metabolism, and chemical reactions.
Decay Formula
N(t) = Nβ Γ (1/2)^(t/tΒ½), where Nβ = initial quantity, t = elapsed time.
Examples
- Carbon-14: 5,730 years (used in radiocarbon dating)
- Uranium-238: 4.47 billion years
- Ibuprofen: ~2 hours (pharmacology)
- Caffeine: ~5 hours
After 10 half-lives, only 0.1% of the original quantity remains.