Nuclear Physics and RadioactivityHard

Question

A sample of radioactive material decays simultaneously by two processes A and B with half lives and  hr respectively. For first half hr it decays with the process A, next one hr with the process B and for further half an hour with both A and B. If originally there were N0 nuclei, find the number of nuclei after 2 hr of such decay.

Options

A.
B.
C.
D.

Solution

TA = hr, TB = e; TA+B  =
so, first hr, = 1 half lives (by A)
next 1 hr = 4 half lives (by B)
next hr = 3 half lives (by A + B)
thus N = (∵ Total eight half lives)

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