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| Teaching Since: | Apr 2017 |
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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
You will investigate the dominant sources of error in measuring the speed of light in the lab. Throughout this question, assume that the error in each time cursor on the scope is σt = 1 ns and the error on each length measurement is σxi = 1 cm for the i th straight portion of the beam path. Suppose that in the lab, you measured ∆t = 72 ns and ∆x =21.6 m. Given this, and the fact that the speed of light is calculated as c = ∆x/∆t, answer the following questions. 54 a) Write an expression for the speed of light in terms of the time cursor measurements and lengths of each straight beam path. Draw a diagram of the beam paths with clear labels on each path. b) What is the error on your measured speed of light, σc? c) Now assume that we have the means to measure the beam path lengths with infinite precision (zero uncertainty). What is the error on the measured speed of light now? d) Now assume that the scope’s time cursors are infinitely precise (and beam path error is now non-zero). What is the error on the measured speed of light now? e) Using your results from the previous two parts, which uncertainty is the main contributor to the total error on the speed of light measurement
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