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Simple decay question

  • 23-12-2013 12:10pm
    #1
    Registered Users, Registered Users 2 Posts: 434 ✭✭


    In the attachment the question in given at the top, then the correct solution under this in green, then my attempt below this in red.

    I'm getting the same solution for N-zero but as a negative number. So I'm wondering what is wrong? Perhaps it's simply a matter of taking the magnitude?

    Thanks for any help!


Comments

  • Registered Users, Registered Users 2 Posts: 3,457 ✭✭✭Morbert


    Smythe wrote: »
    In the attachment the question in given at the top, then the correct solution under this in green, then my attempt below this in red.

    I'm getting the same solution for N-zero but as a negative number. So I'm wondering what is wrong? Perhaps it's simply a matter of taking the magnitude?

    Thanks for any help!

    dN/dt is negative (I.e. N gets smaller or "decays" with increasing time t). You've written it down as a positive number.


  • Registered Users, Registered Users 2 Posts: 434 ✭✭Smythe


    Morbert wrote: »
    dN/dt is negative (I.e. N gets smaller or "decays" with increasing time t). You've written it down as a positive number.

    Thanks Morbert.

    So in the first line of my solution (in red) do you mean I should have

    -dN/dt = - λ N0 e^-λt


  • Registered Users, Registered Users 2 Posts: 3,457 ✭✭✭Morbert


    Smythe wrote: »
    Thanks Morbert.

    So in the first line of my solution (in red) do you mean I should have

    -dN/dt = - λ N0 e^-λt

    You should have

    dN/dt = - λ N0 e^-λt

    where dN/dt = -600×106s-1


  • Registered Users, Registered Users 2 Posts: 434 ✭✭Smythe


    Thanks Morbert!


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