The Modern Physics Puzzler

Isotope A has a half-life of 10 days. It decays into isotope B, which is also radioactive with a half-life of 100 days. Assume that at time equal to zero, a sample of pure isotope A has a radioactivity rate of 1000 cts/min.

  1. Estimate the total radioactivity rate of the sample at the end of 10 days. Note that the sample now contains both isotopes. Be sure to provide arguments for your estimate.

  2. If the half-life of isotope B was comparable to that of A, would your method of estimate be valid?



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