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  • Perplex
    IB Math AISL
    /
    Exponents & Logarithms
    /

    Problem Bank

    [Maximum mark: 6]

    A radioactive substance has a half-life of ​5700​ years. This means every ​5700​ years, the amount of substance is reduced to half of what it was at the beginning.

    A sample initially contains ​80g​ of the substance.

    1. Write down how much remains after one half-life and after two half-lives.

      [2]
    2. After how many years will the amount of substance first fall below ​20g?

      [1]

    A bone fragment is found to contain ​10%​ of its original radioactive isotope.

    1. Use the concept of half-lives to estimate its age, giving your answer to the nearest ​1000​ years.

      [3]

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