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Radioactive Decay

About this simulation

This simulation shows 400 unstable nuclei, green when intact and grey after decay, with a flash at each decay. A graph plots the live count against a gold theory curve. Students can change the half-life between 1 and 10 seconds, show or hide the curve and rerun the experiment. Readouts give nuclei left, half-lives elapsed, expected number and the half-life measured from the data. Teachers can use it to show that decay is random for single nuclei but predictable for large numbers.

What students can explore

  • Run the experiment with Half-life 4 s and note how many Nuclei left remain after exactly one half-life.
  • Press Re-run experiment several times and see that the random count never matches the curve exactly.
  • Change Half-life to 10 s and compare how slowly the green nuclei disappear.
  • Switch off Show theory curve and ask students to draw their own curve from the live points.
  • Compare Measured half-life with the value on the slider after each run.

Learning objectives

  1. 1Define half-life as the time for half the nuclei to decay.
  2. 2Explain why decay is random for one nucleus yet predictable for many.
  3. 3Predict the fraction remaining after one, two and three half-lives.
  4. 4Interpret an exponential decay graph.

Questions teachers ask

Is it free?

Yes. It is free, runs in any modern browser including whiteboards and tablets, and requires no sign-up.

Can we tell which nucleus will decay next?

No. Every nucleus has the same chance of decaying each second, so which one goes next is random. Only the overall behaviour of many nuclei follows the smooth half-life curve.

How much is left after three half-lives?

One eighth, or 12.5 percent, of the original nuclei remain. After one half-life half remain, after two a quarter, and after three an eighth, since each step halves the previous amount.

How do I use it in class?

Set the half-life with the slider and watch the run, then press Re-run experiment for a fresh set. Compare the Nuclei left and Expected left readouts each time and discuss the differences.

Embed this simulation

Drop it into your LMS, blog, or class site — free.

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Continue exploring

From model to evidence

Use a worksheet to capture predictions, observations, and explanations after students explore.

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