Using PYTHON: In this project you will analyze data taken by students in a Modern Physics lab using the Thomson apparatus in order to measure the charge-to-mass ratio of the electron. In the experiment a beam of electrons moves in a circle in a magnetic field created by Helmholtz coils. The radius of the circle r is measured as a function of accelerating voltage V and Helmholtz coil current I. The charge-to-mass ratio e/m for the electrons can be shown to be

em1.dat	em2.dat
V I r 299.9 1.492 5.15 313.7 1.480 5.25 322.5 1.482 5.35 332.8 1.480 5.15 215.1 1.236 5.05 221.2 1.221 5.15 230.4 1.252 5.2 201.7 1.191 5.05 304.7 1.570 5.05 318.0 1.451 5.25 348.9 1.594 5.1 343.3 1.506 5.2 322.6 1.460 5.2 289.9 1.445 5.15 341.6 1.665 4.9 264.5 1.665 4.35 300.1 1.562 5.1 200.4 1.283 4.9 263.8 1.512 4.7 336.5 1.522 5.65	V I r 250 1.546 4.45 255 1.540 4.45 260 1.534 4.5 265 1.533 4.5 270 1.532 4.53 275 1.528 4.58 280 1.526 4.63 285 1.527 4.65 290 1.525 4.73 295 1.642 4.5 300 1.642 4.49 305 1.641 4.53 310 1.640 4.55 315 1.670 4.5 320 1.671 4.53 325 1.669 4.6 330 1.669 4.64 335 1.743 4.46 340 1.743 4.5 345 1.743 4.52 350 1.742 4.55

In this project you wll analyze data taken by students in a Modern Physics lab using the Thomson apparatus in order to measure the charge-to-mass ratio of the electron. In the experiment a beam of electrons moves in a circle in a magnetic field created by Helmholtz coils. The radius of the circle r is measured as a function of accelerating voltage V and Helmholtz coil current I. The charge-to-mass ratio e/m for the electrons can be shown to be 2 e/m125 where a = 0.15m is the radius of the Helmholtz coils. N = 130 is the number of turns in the coils, and ,40 = 1.26 10-6 Tm/A is the permeability constant. There are two sets of measurements on Canvas in the files eml.dat and em2.dat. The columns in both files are V in volts, I in amps, and r in cm (remember to convert r to meters to make the units work). First, calculate a column of e/m values for each file. To make sure that everything worked, compare your values to the accepted value of e/m for the electron. Calculate the mean and standard deviation for each set of