Study of Life Time of Muons
Author: Frank
Researcher: Frank Nati
Data Source
• Detector ID 6818 from Gleenbrook North High School.
• Data: Sep 19th 2015
Verification Steps
Theoretical Ananysis
• Equation for decay:
• Cosmicray e-lab program:
x-axis: t y-axis: dN/dt
Take the differential form: 0
tNdN
edt
0
t
N N e
Cosmicray e-lab result
Revision---Matlab
• Input data into Excel then into Matlab
Revision---Matlab
• Draw a histogram
Revision---Matlab
• Draw best-fitting line---change equations
• Define y= , then , we take ln
on both sides:
dN
dt0
tN
y e
0 1ln ln( ) *
Ny t
Revision---Matlab
Y=-0.38*x+2.7
Calculation
• = -0.38
• = 2.63 μs
1
Verification
• Wiki page: https://en.wikipedia.org/wiki/Muon