Path diameter difference of two singly-charged ions in a magnetic field

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SUMMARY

The discussion centers on calculating the mass difference between two singly charged ions moving in a magnetic field of 0.4 T, with a speed of 5000 km/s and a path diameter difference of 5.0 cm. Using the equation MV/Qb = r, the calculated mass difference yields options including 2.6 × 10–28 kg, 6.4 × 10–28 kg, 3.2 × 10–28 kg, 5.1 × 10–28 kg, and 1.1 × 10–28 kg. The discussion also raises the question of whether there is a specific charge associated with singly charged ions, prompting further exploration of ion formation.

PREREQUISITES
  • Understanding of magnetic fields and their effects on charged particles.
  • Familiarity with the equation MV/Qb = r for circular motion of charged particles.
  • Knowledge of ionization processes and the concept of singly charged ions.
  • Basic principles of classical mechanics related to motion in magnetic fields.
NEXT STEPS
  • Research the derivation and applications of the equation MV/Qb = r in particle physics.
  • Study the behavior of ions in magnetic fields, particularly in mass spectrometry.
  • Explore the process of ionization and the characteristics of singly charged ions.
  • Investigate the implications of charge and mass on the trajectory of charged particles in magnetic fields.
USEFUL FOR

Physicists, chemists, and students studying electromagnetism and ion behavior in magnetic fields will benefit from this discussion.

fight_club_alum
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Homework Statement
Two single charged ions moving perpendicularly to a uniform magnetic field (B = 0.4 T)
with speeds of 5000 km/s follow circular paths that differ in diameter by 5.0 cm. What is
the difference in the mass of these two ions?
a . 2.6 × 10–28 kg
b. 6.4 × 10–28 kg
c. 3.2 × 10–28 kg
d. 5.1 × 10–28 kg
e. 1.1 × 10–28 kg
Relevant Equations
MV/Qb = r
M1(50,000)/q (0.4) - M2(50,000)/q (0.4) = 0.025

Is there a special charge for singly charged ions?
 
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fight_club_alum said:
Problem Statement: Two single charged ions moving perpendicularly to a uniform magnetic field (B = 0.4 T)
with speeds of 5000 km/s follow circular paths that differ in diameter by 5.0 cm. What is
the difference in the mass of these two ions?
a . 2.6 × 10–28 kg
b. 6.4 × 10–28 kg
c. 3.2 × 10–28 kg
d. 5.1 × 10–28 kg
e. 1.1 × 10–28 kg
Relevant Equations: MV/Qb = r

Is there a special charge for singly charged ions?
Ask yourself what an ion being singly charged means. What happens to form an ion?
 

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