Question

Heavy Ions Physicist S. A. Goudsmit devised a method for measuring the masses of heavy ions by timing their periods of revolution in a known magnetic field. A singly charged ion of iodine makes $7.00$ rev in a field of $45.0 \mathrm{mT}$ in $1.29 \mathrm{~ms}$. Calculate its mass, in atomic mass units. (Actually, the method allows mass measurements to be carried out to much greater accuracy than these approximate data suggest.)

Name: Heavy Ions Physicist S. A. Goudsmit devised a method for measuring the masses of heavy ions by timing their periods of revolution in a known magnetic field. A singly charged ion of iodine makes 7.00 rev in a field of 45.0 mT in 1.29 ms. Calculate its mass, in atomic mass units. (Actually, the method allows mass measurements to be carried out to much greater accuracy than these approximate data suggest.)
Uploaded: 2022-06-02T18:58:29-08:00
Duration: 2 min 26 s
Channel: Timothy James

          Heavy Ions Physicist S. A. Goudsmit devised a method for measuring the masses of heavy ions by timing their periods of revolution in a known magnetic field. A singly charged ion of iodine makes $7.00$ rev in a field of $45.0 \mathrm{mT}$ in $1.29 \mathrm{~ms}$. Calculate its mass, in atomic mass units. (Actually, the method allows mass measurements to be carried out to much greater accuracy than these approximate data suggest.)

Added by Nieves J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

06/02/2022

Step 1

Given that the ion makes 7 revolutions in 1.29 ms, the period of one revolution can be calculated as: \[ T = \frac{1.29 \, \text{ms}}{7} = 0.1843 \, \text{ms} = 0.1843 \times 10^{-3} \, \text{s} \] Show more…

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Heavy Ions Physicist S. A. Goudsmit devised a method for measuring the masses of heavy ions by timing their periods of revolution in a known magnetic field. A singly charged ion of iodine makes $7.00$ rev in a field of $45.0 \mathrm{mT}$ in $1.29 \mathrm{~ms}$. Calculate its mass, in atomic mass units. (Actually, the method allows mass measurements to be carried out to much greater accuracy than these approximate data suggest.)