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Radioactive decay problem

  1. Oct 30, 2004 #1
    hi i'm new here hope you can help me with this problem
    nuclei A decays to B and then to C(stable)
    A and B have the same decay constant, n
    Initially the amount of A is N(0)>0 while B and C are zero
    then the amount of A at any time is :
    N(t)=N(0)exp(-nt)
    can somebody derive the equation for the amount of sample B and C as a function of time ?
    thanks
     
  2. jcsd
  3. Oct 31, 2004 #2

    mathman

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    Science Advisor
    Gold Member

    If you have any exposure to elementary diff. eq., the set up is as follows:

    B'(t)=n(A(t)-B(t))
    C'(t)=nB(t)
    where A(t)=A(0)exp(-nt)
     
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