Plain-English Meaning
Radioactive nuclei decay at a rate proportional to the number remaining, leading to exponential decrease over time.
When a quantum question feels ambiguous, translating it into state, observable, probability, and evolution language usually clarifies the answer.
Deeper Explanation
Radioactive nuclei decay at a rate proportional to the number remaining, leading to exponential decrease over time.
Worked Example
Problem: Carbon-14 has t₁/₂ = 5730 years. What fraction remains after 11,460 years?
- 11,460 = 2 × 5730 → exactly 2 half-lives
- Fraction = (1/2)² = 1/4 = 25%
Result: 25% of original C-14 remains
At A Glance
Category: Quantum
Levels covered:
Best use: Start with the formula meaning, then move to the worked example and quiz so the equation turns into a tool instead of a memorised line.