Distance of ions from photographic plate

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SUMMARY

The discussion focuses on calculating the distance of ions (N2+, O2+, NO+) from a photographic plate after completing half an orbit in a magnetic field. The relevant formula used is R = mvq / (qB), where R is the radius of the orbit, m is the mass of the ion, v is the velocity, q is the charge, and B is the magnetic field strength. The user initially miscalculated the distance due to incorrect assumptions about the radius, realizing that the ions would actually hit the plate at a distance of 2R from their starting position.

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  • Understanding of ion motion in magnetic fields
  • Familiarity with the formula R = mvq / (qB)
  • Knowledge of atomic mass conversion from amu to kg
  • Basic principles of electromagnetism
NEXT STEPS
  • Review the derivation of the radius of curvature for charged particles in magnetic fields
  • Learn about the effects of varying magnetic field strengths on ion trajectories
  • Explore the concept of charge-to-mass ratio in particle physics
  • Investigate the implications of half-orbit calculations in practical applications
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Students in physics or chemistry courses, educators teaching electromagnetism, and researchers interested in ion behavior in magnetic fields.

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Homework Statement


How far would the spot on the photographic plate be from the entry point for each ion, assuming that each ion completes half an orbit?
I am given three ions, N+subscript2, O+subscript2, NO+
They have atomic masses of N=14.0031amu and O=15.9949amu.
I am given the magnetic field strength=8.5MN/C
velocity=30.0km/s
The magnetic field is uniform and perpendicular to the velocity.

Homework Equations



I tried to use R=mvc/ qB

q is the charge, m=mass, v=speed, c=speed of light, B= magnetic field strength

The Attempt at a Solution



I tried simply substituting these in and using the standard 1.60*10^-19C for the charge. For the mass i just took the atomic mass, multiplied it by the subscript of two for the first two and then converted it to kg.
I got it wrong.. and i can't tell why.
If i could just figure out what i did I'm pretty sure it's the mass or the charge that is incorrect but i have not had chemistry in quite awhile and can't figure it out...

Thanks for all your help in advance!
 
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Think about it more. Do the ions really hit the plate 1 radius away from their starting position?
 
No. I think it's 2R now. Thank you... I'm not sure how i overlooked that.
 

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