The final step of experiment in Lab6 is to estimate the systematic uncertainty o

Question

The final step of experiment in Lab6 is to estimate the systematic uncertainty of your final measurement due to the variations of the parameters you measured in the lab. Equations (6.7) and (6.8) in your lab manual give expressions for e/m and the relative error of e/m due to all of the parameters measured in the lab. (d_e/m/e/m)^2 = (sigma _V/V)^2 + (2 sigma _I/I)^2 + (2 sigma _R/R)^2 + (2 sigma _r/r)^2 Term # 1 2 3 4 Assume your mean measurements of voltage were V = 387 plusminus 1V, current I = 2.38 plusminus 0.01A, coils radius R = 13.9 plusminus 0.3cm, and curvature of the electron trajectory r = 7.1 plusminus 0.2 cm. What are the numerical values of each term in formula of the relative uncertainty above? Term 1 = times 10^-5 Term 2 = times 10^-5 Term 3 = times 10^-5 Term 4 = times 10^-5 Look at the numbers above and, assuming that the final relative error needs to be reported as rounded to the nearest integer, make a time saving, intelligent decision on how many terms to keep in your final answer and write the value below. (sigma e/m/e/m) =

Explanation / Answer

While calculating the final result, First term can be neglected. Taking the rest 3 terms, the exact value that comes out is 7.14% But rounding off to the nearest integer, it should be 7 % only.

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