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Q.

A small quantity of a solution containing N24 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 timer after which sample is taken.

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a

Tln⁡(2)1nR0VR1

b

TIn⁡(2)1nVR0R1

c

Tln⁡(2)1nVR1R0

d

Tln⁡(2)1nR1VR0

answer is A.

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Detailed Solution

Total volume of blood,V= Total activity R Activity per cm3R1  =R0e−λtR1, (or) VR1R0=e−λt−ln⁡VR1R0=λt=ln⁡(2)tT;t=Tln⁡(2)ln⁡R0VR1
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