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Question

A small quantity of a solution containing Na24 radio – nuclide of half life T and activity R0 is injected into blood of a person. 1cm3 of sample of blood taken from the blood of the person shows activity R1. If the total volume of the blood in the body of the person is V, find the time after which sample is taken:

A
T2 In(2)[In(R0VR1)]
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B
TIn(2)[In(VR0R1)]
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C
TIn(2)[In(VR1R0)]
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D
TIn(2)[In(R1VR0)]
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Solution

The correct option is A T2 In(2)[In(R0VR1)]
Total volume of blood,
V=Total acitivity R(Activity per cm3R1)=R0eλtR1Or,VR1R0=eλtOr,In(VR1R0)=λt=In(2)tTT=TIn(2)In(R0VR1)

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