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The activity of a freshly prepared radio...

The activity of a freshly prepared radioactive sample is `10^(10)` disintergrations per second, whose mean life is `10^(9)s`. The mass of an atom of this radioisotope is `10^(-25) kg`. The mass ( in `mg`) of the radioactive samples is

Text Solution

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We know that `|(dN)/(dt)|=lamdaN=1/(T_("mean"))N`
`:.10^(10)=1/(10^(9))xxN`
`:.N=10^(19)`
i.e. `10^(19)` radioactive atoms are present in the freshly prepared sample.
The mass of sample `=10^(19)xx10^(-25)kg=10^(-6)kg=1mg`.
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