Radioactive Dice (Advanced)

Posted in A2 Unit 5: Radioactivity, AQA A2 Unit 5 by Mr A on 6 Jan 2010
The classical definition of probability works ...
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This experiment investigates the random nature of radioactivity by studying the nature of another random process, rolling several dice at once. After each roll a certain number is removed (based on the ‘instability’ of the atoms we are modelling). The decay pattern follows an exponential decline, given by

N = N_{0} e^{- \lambda t}

Taking logs of both sides we find:

ln|N| = ln|N_{0}| - \lambda t

This means that if we plot a graph of ln|N| against t, we should find a straight line with gradient λ.

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