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

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A muon traveling at 0.999c in the Earth's atmosphere covers a distance of 4.6 km before decaying. The time of its lifespan, as measured in its own frame, can be calculated using the formula t = L/γv. The discussion confirms the correctness of this approach. The focus remains on understanding the time dilation effects experienced by the muon due to its high speed. The calculation emphasizes the principles of relativistic physics.
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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



t=\frac{L/\gamma}{v}
 
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Yes, that's right.
 
Thanks.
 
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