1. Limited time only! Sign up for a free 30min personal 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!

Half-Life Error Derivative

  1. Apr 4, 2013 #1
    1. The problem statement, all variables and given/known data

    How to derive an error equation: t1/ 2 = ln 2/λ= 0.693/λ. Confused, and don't even know where to start.

    2. The attempt at a solution
    σ(t1/2)= σ(ln2)/(ln2) + σ(λ)/λ
     
  2. jcsd
  3. Apr 5, 2013 #2
    Start by writing the equation for radioactive decay and derive the relation between number of nuclei remaining and time ( using initial number of nuclei and the rate constant as known quantities). Once you obtain the relation, set the number of remaining nuclei to half of the initial value and then solve for time taken.
     
  4. Apr 5, 2013 #3

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Not sure I understand the question. Is it that you have an error bound on the decay rate, and you wish to derive from that an error bound for the half life? Are you assuming (and can you justify) a normal distribution for the error in the decay rate?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Half-Life Error Derivative
  1. Half Life for patient (Replies: 1)

  2. Half life (Replies: 1)

  3. Half life (Replies: 2)

  4. Half Life (Replies: 4)

Loading...