How long does he live as it measured in his frame?

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Just simple question to check

Homework Statement


A muon formed in the high Earth's athmoshere travels at speed v=0.999c
for a distance of a L=4.6 km before he decays.How long does he live as it measured in his frame?





The Attempt at a Solution



[tex]t=\frac{L/\gamma}{v}[/tex]
 
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