(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Decay of Particle

Can you offer guidance or do you also need help?

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