A source contains two phosphorous radio nuclides ^{32}_{15}P\, (T_ | Filo
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Class 12

Biology

Cell: Structure and Functions

Nuclei

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A source contains two phosphorous radio nuclides and . Initially, 10% of the decays come from . How long one must wait until 90% to do so?

Solution: Let the number of atoms of be and atoms of be .
The decay constants of two atoms be and respectively.

The initial activity of is times that of .

Therefore, we can write the decay constants as: 
                        ___(i)

Let after time t the activity of be times that of

                        ___(ii)

Now. Divide equation (ii) by (i) and taking the natural log of both sides we get



where and


t comes out to be days
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