A given number of atoms, N0 of a radioactive element with a half life T is uniformly distributed in the blood stream of a
(i) normal person A having total volume V .of blood in the body
(ii) person B in need of blood transfusion having a volume V’ of blood in the body.
The number of radioactive atoms per unit volume in the blood streams of the two persons after a time { n }_{ 1 }
are found to be
{ N }_{ 2 }
and
{ N }_{ 2 }.
Prove mathematically that the additional volume of blood that needs to be transfused in the body of
Initial number of radioactive atoms, per unit volume, in the blood streams of persons A and B are
After a time nT (T = Half-life), these numbers would get reduced by a factor 2".
Additional volume of blood needed by person B is
