Consider a single nucleus of a radioactive isotope that
Chapter , Problem 40(choose chapter or problem)
Consider a single nucleus of a radioactive isotope that has a decay rate equal to The nucleus has not decayed at The probability that the nucleus will decay between time and time is equal to (a) Show that this statement is consistent with the fact that the probability is 1 that the nucleus will decay between and (b) Show that the expected lifetime of the nucleus is equal to Hint: The expected lifetime is equal to divided by (c) A sample of material contains a number of these radioactive nuclei at time What is the mean lifetime of the radioactive nuclei in the sample?
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