Radioactive Decay Chain · USAPhO 2021 #7

Physics · nuclear-physics

Problem

A radioactive sample initially contains N0=106N_0 = 10^6 atoms of isotope A, which decays to isotope B with half-life t1/2=10  mint_{1/2} = 10\;\text{min}. Isotope B is stable. How many atoms of A remain after 30  min30\;\text{min}? How many atoms of B have been produced?

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