Please don\'t forget to also include the \"initial direction\" of the deflection
ID: 1441225 • Letter: P
Question
Please don't forget to also include the "initial direction" of the deflection as well. thank you!
The figure shows a mass spectrograph that is operated with deuterons, which have a charge of +e and a mass of 3.34 times 10^-27 kg. Tire deuterons emerge with negligible velocity from the source, which is grounded. The speed of the deuterons as they pass through the accelerator grid is 8.0 times 10^5 m/s. A uniform magnetic field of magnitude B = 0.20 T, directed out of the plane, is present to the right of the grid and is perpendicular to the velocity of the deuterons. The deuterons make a circular orbit in the magnetic field. What is the radius of this orbit, and what is the initial direction of their deflection just as they enter the magnetic field? (e = 1.60 times 10^-19 C)Explanation / Answer
centripetal force=magneticfield force
mv2/r=Bqv
r=mv/Bq here m=3.34*10-27kg,v=8*105m/s,B=0.2 T,q=1.6*10-19c
r=3.34*10-27*8*105/(0.2*1.6*10-19)
r=8.35*10-2m
radius r=8.35 cm
direction is clock wise