Modern Physics > Nuclear Physics > Radioactive Decay
DCS# 7D10.50

DICE RADIOACTIVE DECAY MODEL



APPARATUS
30 dice
202-04-C5
document camera
201
laptop
206


DESCRIPTION
Model radioactive decay using dice.  The thirty dice represent radioactive nuclei, each roll is a time increment, and some outcome, e.g. rolling a five or a six, represents decay.  After each roll, remove the decayed dice and roll the rest.  Plot number of dice remaining after each roll vs. roll number.


NOTES


The "dice" Graphical Analysis file shows the theoretical curve N(n) = No(1- λ)n where λ =1/3.  Enter the experimental values in the N' column and the software will plot the results with error bars = sqrt(N').  This assumes Poisson statistics, even though the number of nuclei is small.


A similar model involves tossing pennies where tails = decayed nuclei.