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

• Thank you!