A certain radioactive element disintegrates for an interval of time equal to its mean life. The fraction that has disintegrated is

\frac{1}{e}

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(1 - \frac{1}{e})

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(\frac{e - 1}{2})

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(e - \frac{1}{e})

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Solution

The correct option is B $(1 - \frac{1}{e})$
After mean life time $N = \frac{N_{0}}{e}$
$∴$ fraction of radioactive element disintegrated $= \frac{N_{0} - N}{N_{0}} = 1 - \frac{1}{e}$

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