Consider a hypothetical case of a radio nuclide “A” which produce a daughter “B” which decay’s to a stable product C. The half life of B is $$4$$ times that of “A”. Take initial population of both ‘B’ and ‘C’ to be zero. The ratio of population of “B” to that of “A” at the instant the population of B becomes maximum is

Question

Infinity Learn · Accepted Answer

Given :$$TB=4TA$$ ⇒ λ$$B=$$λ$$A4$$ When population of “B” is maximum , $$dNBdt=0$$ ⇒λ$$ANA=$$λBNB ⇒$$NBNA=$$λAλ$$B=4$$

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