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How many half-lives are required for the number of radioactive nuclei to decrease to 1/10^4 of the initial number?

  • Physics -

    Let N be the number of half-lives.
    (1/2)^N = 10^-4
    N log(0.5) = log(10^-4)
    -0.30103 N = -4
    N = 13.29 half-lives

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