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Problem. The daughter nucleus formed in radioactive decay is often radioactive. In this case we have...

Problem. The daughter nucleus formed in radioactive decay is often radioactive. In this case we have a decay chain as shown below A → B → C That is, atoms of A decay into an atoms of B and atoms of B decay into atoms of C. Let A0 represent the number of parent nuclei at time t = 0, A the number of parent nuclei at time t, and λ1 be the decay constant of the parent. Suppose the number of daughter nuclei at time t = 0 is B0, let B be the number of daughter nuclei at time t, and let λ2 be the decay constant of the daughter.

(a) Suppose that element A has a half-life of 45 days and element B has a half-life of 60 days. Also you are given that A0 = 750 atoms and B0 = 500 atoms. Roughly how many long (in days) have elapsed when there are 25 atoms of B for every atom of A in our sample.

(b) At this time, roughly how many atoms of C are there?

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