b) In the muon lifetime experiment, we obtain a histogram for the recorded decays as function of the time after the muon enters the detector. After binning the decays into discrete time bins, we expect the distribution of decays (histogram) to be described by an exponential function of time. Rather than fitting the data directly with an exponential function, it is sometimes more convenient to plot the logarithm of the decays in a bin (y;) as a function of time (x₁) and then fit a straight line to it. Each data point of the histogram (x, y) has a statistical error, 0₁ = √√₁, associated with it. What happens to these errors when the semi-log histogram 12 11

b) In the muon lifetime experiment, we obtain a histogram for the recorded decays as function of the time after the muon enters the detector. After binning the decays into discrete time bins, we expect the distribution of decays (histogram) to be described by an exponential function of time. Rather than fitting the data directly with an exponential function, it is sometimes more convenient to plot the logarithm of the decays in a bin (y;) as a function of time (x₁) and then fit a straight line to it. Each data point of the histogram (x, y) has a statistical error, 0₁ = √√₁, associated with it. What happens to these errors when the semi-log histogram 12 11

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

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