UC Merced Electricity Magnetism Mass Spectrometry In a carbon-dating experiment, a particular type of mass spectrometer is used to separate 14C from 12C. C

UC Merced Electricity Magnetism Mass Spectrometry In a carbon-dating experiment, a particular type of mass spectrometer is used to separate 14C from 12C. Carbon ions from a sample are first accelerated through a potential difference ?V1 between the charged accelerating plates (assume their initial kinetic energy is negligible). Then the ions enter a region of uniform downward magnetic field B. The ions pass between deflection plates spaced a distance d apart. By adjusting the potential difference ?V2 between these plates, only one of the two isotopes is allowed to pass through to the next stage of the mass spectrometer. The distance from the entrance to the ion detector is D. By suitably adjusting ?V1 and ?V2, the detector counts only one type of ion, so the relative abundances can be determined. Based on the diagram below, are the ions positively or negatively charged? Which of the accelerating plates (east or west) is positively charged? And which of the deflection plates (north or south) is positively charged? Find expressions for the values of ?V1 and ?V2 in order to count ions of mass m. Finally, let d = 1.5 cm, D = 30 cm, and B = 2 T. Find the correct numerical values of ?V1 and ?V2 in order to count 12C ions (mass 1.993 × 10?26 kg, net charge +3e) ?
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?
X
Detector
w
+
E
?
?
?
?
D
X
Ions
Deflecting plates (spacing d)
?
X
Accelerating plates
?
?
?
X
Detector
w
+
E
?
?
?
?
D
X
Ions
Deflecting plates (spacing d)
?
X
Accelerating plates

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