• anonymous
Lucifer's Question Of The Day:- An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it decays. Its speed relative to the detector was 0.992c. What is its proper lifetime? That is, how long would the particle have lasted before decay had it been at rest with respect to the detector?
  • Stacey Warren - Expert
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  • chestercat
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  • anonymous
Only God or nerds...
  • JamesJ
from out perspective, the elapsed time of the particle's life is t = distance/speed = 0.00105/0.992c Now adjust this back into the particles frame of reference to find the life time of \[ t' = t \sqrt{1-(0.992)^2} \]

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