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Radioactive decay

Watch a large population of unstable nuclei dwindle, half-life by half-life.

N = N₀·2⁻ᵗ/ᵀ½ A = λNSenior high physics
Blue: undecayed groups, gray: decayed groups
t = 0.00 s
Speed
Undecayed nuclei800.0
Decayed nuclei0.0
Current activity69.31s⁻¹

Undecayed nuclei vs. time

8004000.00.010.020.030.040.0Nt (s)

At each half-life tick, the number of undecayed nuclei is half that at the previous tick.

Think about it

After 3 half-lives, roughly what fraction of the initial nuclei remains undecayed?

Model assumptionsSingle radioactive nuclide · Constant decay probability · Nuclei decay independently · Nucleus count uses the continuous expected value · Replays automatically after 5 half-lives

Data log

Set the parameters and click “Record data”. Record several rows with different parameters to plot their relationship and fit a straight line; pause and record at different times to study how a reading changes with time.

How to use the lab

  1. Choose an experimentBrowse the catalog on the left by level or topic, or search for a concept.
  2. Change a parameterDrag a slider or type a value in range. The experiment restarts from its initial state right away.
  3. Slow down and observePause, change the speed, drag to look from another angle in 3D, and use the readings and graph to understand what changes.
  4. Test your ideasRead the explanation and the model assumptions, then answer the question under “Think about it”.