There are two radioactive substance A & B, Decay constant of B is two times that of A. initially, both have equal number of nuclei. After n half lives of A, rate of disintegration of both are equal. The value of ‘h’ is

Question

Infinity Learn · Accepted Answer

Let  λ$$A=$$λ  ∴  λ$$B=2$$λ.If  is total number of nuclei in A & B at t $$=$$ $$0$$, times initial rate of distntegration of  $$A=$$λNo,and initial rate of disintegration of $$B=2$$λNoAs λ$$B=2$$λA⇒$$TB=TA2After$$ one half life of A−$$dNdtA=$$λ$$No2Equivalently$$, after two half lives of B−$$dNdtB=2$$λ$$No4=$$λ$$No2$$∴−$$dNdtA=$$−$$dNdtBn=1$$,i.e  After  one half life of A

There are two radioactive substance A & B, Decay constant of B is two times that of A. initially, both have equal number of nuclei. After n half lives of A, rate of disintegration of both are equal. The value of ‘h’ is

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