Relativity, and the half life of Muons

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SUMMARY

This discussion focuses on the calculation of the half-life of muons based on their detection at different altitudes. Participants measured muon flux at the top and bottom of a mountain, leading to insights about the decay of muons during their descent. Key points include that the difference in muon flux is due to decay before reaching the detector and that the time spent traveling from high in the atmosphere to the mountain top does not need to be accounted for in half-life calculations. The conversation emphasizes the importance of clarity in scientific explanations.

PREREQUISITES
  • Understanding of muon physics and decay processes
  • Familiarity with experimental measurement techniques in particle physics
  • Knowledge of altitude effects on particle detection
  • Basic grasp of ratio calculations in physics
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  • Research muon decay and its implications in particle physics
  • Study the effects of altitude on cosmic ray detection
  • Learn about experimental setups for measuring particle flux
  • Explore the concept of time dilation in relation to moving particles
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Physics students, educators, and researchers interested in particle physics, specifically those studying muon behavior and decay in varying atmospheric conditions.

babacanoosh
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Hello all,
Below I have a few questions regarding calculating the half life of muons. We measured how many muons were recorded at the top of a mountain, then measured how many muons were recorded at the bottom. Using this data, we calculated the half life of moving muons.

Thanks for the help!


1. A)Why is the flux of muons different at high and low altitudes?
B)When calculating the time needed for a muons to travel from the top of a mountain to the bottom, do we need to account for the time that muons spend traveling from high in the atmosphere to the top of the mountain?




Homework Equations


None



The Attempt at a Solution


A) Less Muons make it lower to the ground because some may decay before they reach the muon detector. Also various things such as a mountain may keep muons from reaching the ground.
B)No because this time has the same ration as all of the other muons, and when calculating the half life, we are only using the time it takes for muons to reach from the top, to the bottom of a mountain.


Thank you all for the help!
 
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Your answers are correct. The second sentence in your answer to "a" is unnecessary, and a tad confusing (if a mountain got in the way of the ground, then it wouldn't be the ground would it? And other things in the air, smoke, dust, nitrogen, etc, wouldn't significantly stop the muons anyway).

And in the answer to the second part, you have the magic word "ratio," but you could clarify what you mean by "this time."

A total nitpicky jerk of a teacher (like me) would mark these answers as correct, but not with full points.
 

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