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!

Homework Help: Decay of Particle

  1. Feb 7, 2010 #1
    1. The problem statement, all variables and given/known data
    We know that the probability of a particle decaying between time t=o and t=t is given by P(t)=e-[tex]\Gamma[/tex]t
    a) Show the probability it decays in time between 0 and [tex]\infty[/tex] is 1
    b) By considering decays at all possible times, calculate the average lifetime [tex]\tau[/tex] of the particle.

    2. Relevant equations
    As above

    3. The attempt at a solution
    Started just by saying that rate of decay = -[tex]\Gamma[/tex]e-[tex]\Gamma[/tex]t but really nothing seems to be getting me to a decay of 1. Any hints would be muchly appreciated.
    Edit: Ok, for the first part, I've argued it by saying that at a time t=0 the proability is 1 that the particle exists, while at a time t=[tex]\infty[/tex] the probability is 0 and so the change in probability is 1. Is that about right? Still can't get started with the second.
    Last edited: Feb 7, 2010
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted