1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Radioactive Decay Graph in y=mx+c form

  1. Feb 13, 2010 #1
    1. The problem statement, all variables and given/known data

    This is an equation relating radioactivity of lead in marine core sediments in comparison with the depth of the sediment.

    The equation is AL=A0exponential - λL/s

    Where AL = activity at depth L (Bqkg-1)
    Where A0 = activity at depth 0 cm (Bqkg-1)
    λ = decay constant 0.031 yr-1
    L= sediment depth (cm)
    s= sediment accumulation rate (cmyr-1)

    I need to make this into y=mx+C form


    2. Relevant equations

    As above.

    3. The attempt at a solution

    Well Ln both sides gives me

    Ln AL = Ln (A0exponential - λL/s)

    Ln AL = (Ln A0) + (Ln*exponential - λL/s) (which cancels)

    Ln AL = (Ln A0) - λL/s

    Ln AL = y
    Ln (A0) = c
    L= x
    1/s = m

    Is that correct? The graph has to be Ln AL against L but I wasn't sure about m and c. Thanks :)
     
  2. jcsd
  3. Feb 13, 2010 #2
    Hello Rockerjabroni your equation is correct.If you now compare this to y=mx+c you should see that the graph has a negative slope of gradient lambda/s and intercept lnAzero.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Radioactive Decay Graph in y=mx+c form
  1. Y = mx + b (Replies: 4)

  2. Hooke's Law and y=mx+c (Replies: 7)

Loading...