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A given no. Of atoms N …

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A given no. Of atoms N of radioactive element with a half life T is uniformly distributed in the blood stream of a 1)normal person A having total volume V of blood in the body 2)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 stream of two person after a time nT are found to be N1 and N2. Prove mathematically that the additional volume of blood that needs to be transfused in the body of person B equals (1 - N1/N2)V.
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