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. (HINT: values that are smaller by factor of x10 or more generally will not contribute to the final result) ?q/m q/m = Incorrect: Your answer is incorrect. %

For the final result of your experiment you will need to estimate the uncertainty of your final measurement due to the variations of the parameters you measured in the lab. The following exercise is not tied directly to the final quantity you will be measuring in the lab, but should help you adopt the ideas to your own analysis. It can be shown that for an ion moving in a uniform magnetic field B the expressions for q/m (the ratio of the ion's charge to its mass) is 125R2V m: q/ 32N2u2I2r2 The relative error of q/m due to all of the parameters measured in the lab can be written as (make sure you understand how this expression is derived): (game (we (2202+ (232+ (2:92 Term # 1 2 3 4 Assume your mean measurements of voltage were V = 408 :l: 1V, current I = 2.36 i 0.01A, coils radius R = 14.3 d: 0.2cm, and cuwature of the ion trajectory r = 7.2 :l: 0.3cm. What are the numerical values of each term in formula of the relative uncertainty above? (HINT: consult your last semester's Lab Manual to refresh the formulas) Term 1 = 0,601 y x 10'5 Term 2 = 72 y x 10'5 Term 3 = W J x 105 Term 4 = W J x 105