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22 March, 11:28

A radioactive substance used in nuclear weapons decays at the rate of 3.33.3 % per year. calculate the half-life of the radioactive substance.

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  1. 22 March, 11:42
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    The amount of substance that is present after t years given that the half-life of the substance is h is calculated through the equation,

    A (t) = A (o) (0.5^t/h)

    If after a year, the rate of decay is equal to 33.3% then,

    A (t) / A (o) = (1/3) = 0.5^ (1/h)

    The value of h from the equation is 0.63 years.

    Answer: 0.63 years
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