1.

Estimate the number of mean lives clasped , when the number of atoms in a radioactive sample decrease to 5% of the original value.

Answer»

Solution : Let the required number of mean lives elapsed be .m., then
`t = m lt TAU GT = m/lamda`
and `N = 5% ` of `N_0 = 1/(20)N_0`
But `N=N_0e^(-lamdat)`
`:. N_(0)/(20) = N_(0)e^(-m)` or `e^(m) = 20 `
or , m = LN 20 = ln 2 + ln 10 = 0.693 + 2.303 `~~3`
`:.` At the of about three average lives, the number of atoms (undecayed) would fail to 5% .


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