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A `U^(238)` preparation of mass `1.0g` emits `1.24.10^(4)` alpha particles per second. Find the life of this nuclide and the activity of the preparatio.

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Here `N_(0)=(1)/(238)xx6.023xx10^(23)`
`= 2.531xx10^(21)`
The activity is `A= 1.24xx10^(4) dis//sec` ltbr4gt Then `lambda=(A)/(N_(0))= 4.90xx10^(-18) per sec`.
Hence the half life is
`T_(1/2)=(In2)/(lambda)= 4.49xx10^(9) years`

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