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The lab manual for the class is found here

http://advancedlab.physics.gatech.edu/labs/Muons/Muons.pdf

One of the things, I was interested in figuring out was what would be the minimum height needed to put a moun detector (currently at ground level) in order to detect a minimum 1% time dilation with at least a muon count of 100-1000 muons. Because I have only one detector and where I live is very level, I would have to present theoretical results to my professor first in my lab report to his help in find a place to get to measure time dilation. Here is the formula, I derived:

[itex]t'= \alpha/\rho \ln(\sqrt{{\gamma }^{2} - 1}+\gamma) =\alpha/\rho =\ln(\sqrt{{\rho/\alpha*h }^{2} - 1}+\rho/\alpha*h )[/itex]

[itex]\alpha = m*c/C_{0}[/itex]

So I tried to use the time dilation formula gave in the book to put the lab frame decay time t' in terms of time and then figure out the a decay time that give me at least something near the moun decay rate of 2.19. However, each time I plug it in I get unusual results for constants like \alpha α .

I have a spanish 1001 final in like 10 minutes, so I was wonder if later I post my questionscan someone out there who knows enough about the Teach Spin Muon experiment help me understand what I am doing wrong with special relativity?

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# Time Dilation and Muon Energy vs. height (Muon Experiment)

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