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

I have to find the Fermi Coupling Constant using my measurement of the muon lifetime. My measurement is 2.1786x10^-6s

2. Relevant equations

[tex]G_F=\sqrt{\frac{192.pi^{3}}{\tau.m_{\mu}}}[/tex]

3. The attempt at a solution

I tried plugging in the numbers that I have and I get ~495,000ish which obviously cannot be right as the value of the Fermi Coupling Constant is:

1.166 37x10-5 GeV-2

I used lifetime as 0.0000021786s

Mass of the muon as 0.105GeV

I think I have to put in factors of hbar and c somewhere, or change units or something, but it's driving me crazy and I can't figure it out!

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# Homework Help: Help calculating the Fermi coupling constant from the muon lifetime

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