Magnetic force must be equal to the centripetal force.
Solving for r:
For N - 14,
rN-14 = (2.35×10-26)(513×103)/(1.6 × 10-19)(0.510) = 0.1477 m
Distance, d14 = 2r14 = (2)(0.1477) = 0.2954 m
The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes nitrogen-15 to nitrogen-14 in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists how much meat was consumed by ancient people. Suppose you use a velocity selector (Figure 1) to obtain singly ionized (missing one electron) atoms of speed 513 km/s and want to bend them within a uniform magnetic field of 0.510 T. The measured masses of these isotopes are 2.35×10-26 kg (14N) and 2.45×10-26 kg (15N).
Find the separation of the 14N and 15N isotopes at the detector.
Express your answer with the appropriate units.
s = ___
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