Consider a mass spectrometer used to separate the two isotopes of uranium, 238 U³+ (3.952 x 10-25 kg) and 235 U³+ (3.903 x 10-25 kg). Assume the ions enter the magnetic field region of strength 10.5 T, which is perpendicular to velocity of the ions, with identical speeds and leave the spectrometer with a separation of 2.2 mm (as measured from the entry point) after completing a half-circle turn. Calculate the initial speed of the ions.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter30: Magnetic Fields And Forces
Section: Chapter Questions
Problem 90PQ: A mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an...
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Consider a mass spectrometer used to separate the two isotopes of uranium, 238U³+ (3.952 x 10-25 kg)
and 235 U³+ (3.903 x 10-25 kg). Assume the ions enter the magnetic field region of strength 10.5 T,
which is perpendicular to velocity of the ions, with identical speeds and leave the spectrometer with
a separation of 2.2 mm (as measured from the entry point) after completing a half-circle turn.
Calculate the initial speed of the ions.
Transcribed Image Text:Consider a mass spectrometer used to separate the two isotopes of uranium, 238U³+ (3.952 x 10-25 kg) and 235 U³+ (3.903 x 10-25 kg). Assume the ions enter the magnetic field region of strength 10.5 T, which is perpendicular to velocity of the ions, with identical speeds and leave the spectrometer with a separation of 2.2 mm (as measured from the entry point) after completing a half-circle turn. Calculate the initial speed of the ions.
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