3 Charge Deflector An experiment to look for a charge imbalance between the prot

Question

3 Charge Deflector An experiment to look for a charge imbalance between the proton and electron might be constructed as shown in the figure. A beam of particles moving at speedvo 10 m/s is prepared in an accelerator. Before striking the de- tector, the beam passes through a 10 m region containing a uniform electric field of 100 N/C perpendicular to the beam 0 eam (a) Where would a proton from the beam be expected to strike the detector? (Le, how many meters above or below the beam line would it strike?) (b) Suppose the experiment is unable to detect a deflec tion less than 1 nm. If no deflection of hydrogen atoms is detected (i.e., the deflection of a hydrogen is less than 1 nm), what is the upper limit on the net charge of a hy- drogen atom? (This is the maximum difference between the electron and proton charge that is consistent with the experimental measurement.) 10 m

Explanation / Answer

time spent in the region = 10 / 10^6 = 10^-5 s

force on a proton = qE = 1.6 *10 ^-19 *100 = 1.6 *10^-17

ACCELERATION = force/mass = 1.6 *10^-17/ 1.6 *10^-27 = 10^10 m/s^2

deflection above the beam level = 0.5 *acc. time^2 = 0.5 * 10^10 * 10^-10 = 0.5 m

b) for deflection 1nm

10^-9 = 0.5 *a* 10^-10

a= 20 m/s^2 = q E/m

q = 20*1.66 *10^-24 / 100

= 3.32 *10^-25 coulumbs is the net charge diffrence

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