A radionuclide 'A' decays simultaneously into 'B' and 'C', by - and -emission, respectively. The half-lives for the decay are 20 and 60 min, respectively. The time in which 87.5% of 'A' will decay is

Question

A radionuclide 'A' decays simultaneously into 'B' and 'C', by $\alpha$- and $\beta$-emission, respectively. The half-lives for the decay are 20 and 60 min, respectively. The time in which 87.5% of 'A' will decay is

Prashant Kotian · Accepted Answer

Correct answer: C. Effective decay constant . Thus . 87.5% decay means 12.5% (which is 1/8) remains. This takes 3 half-lives. Time = . Therefore, correct answer is C.

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