The Half-life of dice Decay investigation

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The Half-life of dice – Decay investigation

Cheung Yu On Andy 12L

Aim: To investigate the half-life of dice

Qualitative Data

  • A total of 100 dice were put into a blue plastic container. The container was then shuffled in random speeds and directions to allow the dice to roll.

  • After every shuffled, all the dice in the container with “6” facing up were removed from the container and the number was recorded. The remaining dice were shuffled again and dice with “6” facing up were removed again. The process repeats for 20 shuffles in total.

Data collection

Our group’s data

Data processing

Justification of errors

The percentage error is larger at first (10%) since there is more dice involved in the shuffling of the container, so there is a higher possibility that more dice are not rolled probably. The percentage error becomes smaller gradually since the number of dice in the container decreases when more shuffles are made, so the possibility that the dice are not rolled probably decreases at the same time.

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Numerical error = No. of dice remaining X %error

For the 1st shuffle: 84 x 10% = 8% (round up to the nearest integer since the number of dice must be an integral value)

Based on the table above, the number of dice remaining is plotted against the number of times shuffled to produce a graph of decay model of dice. Note that an exponential trend line is plotted to obtain an equation in the form of N = N0 e –λt.

From the graph, the radioactive equation is found to be:

y = 127.0e-0.22x

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