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Measuring the Speed of Light John Klumpp And Ainsley Niemkiewicz
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Why Measure The Speed of Light? Inherently Difficult Electrodynamics Theory of Relativity Actually, We Don’t
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How We Do It Measure Travel Time of Laser Pulse
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Oscilloscope Setup Pros: Simple Straightforward Direct Cons: Less Accurate More Time Consuming
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Electronic Circuitry Setup Pros: More Accurate Faster Cons: More Complicated Requires Calibration Many Components
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Data Total Round Trip Distance: D AC = 62.71m Short Trip Distance: D AB =.486m Measured Flight Path Distance: D BC = 62.71m -.486m = 62.224m
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Oscilloscope Data % AmplitudeAmplitude (mV)T AC (ns) 15%20.82219.2 30%41.64223.1 45%62.46226.9 60%83.22230.9 75%104.1235.3 T AB, T BC, calculation of SoL with signal amplitude 136.4mV: % Amplitude Amplitude (mV) T AB (ns) T BC (ns) c (10 8 m/s) 15%22.1410.5208.72.981 30%44.2814.3208.82.98 45%66.4218208.92.979 60%88.5622.1208.82.98 75%110.727.5207.82.994 (T BC = T AC – T AB, SoL = D BC /T BC = 62.224/T BC ) Total round trip flight time, including lag, TAC, with signal amplitude 138.8mV:
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Electronic Circuitry Data Calibration: Time Calibrator Set to 40nS MCA Histogram Peaks at 2570mV and 2970mV Conclusion: 400mV=40ns 10mV=1nS
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Measurement of T BC : Short Trip Peak at 510mV ~T AB Long Trip Peak at 2599mV ~T AC T BC ~ 2599mV – 510mV = 2089mV Applying Calibration Constant, T BC = 208.9nS We thus have c=d/t = 62.224m/208.9nS =2.979 * 10 8 m/S = c
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Data Analysis Oscilloscope: Average of five measurements Uncertainty comes from -distance measurement -correlating peak locations C = (2.983±.05)*10 8 m/s % Error =.498%
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Data Analysis Electronic Circuitry Electronic time measurements Computer analysis of data Very precise time measurements Uncertainty comes from: -distance measurement -Do we trust our equipment? C = (2.978±.03)*10 8 m/s % Error =.664%
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Conclusion Classical Experiment, New Technology Accurate, Straightforward Method %Error < 1% Speed of light = speed of propagation of Maxwell’s EM waves! We can now test predictions of relativity
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