(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A nucleus decays into two channels with probabilities 0.62 and 0.38, respectively. Its lifeime is 20 hours. What are the decay rates into each of these channels?

2. Relevant equations

If there is only one channel of decay, the decay can be described by the formula:

N=N0*exp(-t/T)

where N is a number of nuclei which didn't decay after time t, N0 is the total number of nuclei and T is decay rate.

3. The attempt at a solution

I'm not sure, if the following formula is correct:

N=N0*(0.62*exp(-t/T1)+0.38*exp(-t/T2)), where T1 and T2 are the variables I want to find.

If it's correct, then later should I write:

N=N0*exp(-t/T), where T is 20 hours?

But then I think I don't have enough information to solve it, as I have in fact one equation and two variables.

How to solve this problem?

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# Homework Help: Nucleus decay

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