You seem to have omitted two important dimensions:
(1) the path length of the particle through the mass spectrometer's B field, and
(2) the distance to where the collectors are located. It is probably longer than the first dimension.
A mass spectrometer is used to separate isotopes. If the bean emerges with a speed of 374 km/s and the magnetic field in the mass selector is 1.5 T, what is the distance between the collectors for 235U+1 and 238U+1? The mass of 235U+1 is 235 u and the mass of 238U+1 is 238 u, where the atomic mass unit u = 1.66 x 10-27 kg.
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