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Energetics of Nuclear Fission

The disintegr...

Question

The disintegration rate of a certain radioactive sample at any instant is $4750$ dpm. Five minutes later, the rate becomes $2700$ dpm. Calculate half life of sample.

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Solution

$R o = 4750$ dpm
$t = 5$ min
$R = 2700$ dpm
$t 1 / 2 = ?$
$5 = \frac{2.303 \times t 1 / 2}{0.693} \times l o g (\frac{4750}{2700})$
$t 1 / 2 = 6.13$ min

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