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One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynthesizes, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use the mass spectrometer to separate the and isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 7.79km/s and want to bend them within a uniform magnetic field in a semicircle of diameter 20.2cm for the . The measured masses of these isotopes are 1.99×10?26kg (12 c) and 2.16×10?26kg(13 c) .

A) What strength of magnetic field is required?

B) What is the diameter of the semicircle?

C) What is the separation of the and ions at the detector at the end of the semicircle?

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