11. One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis [SIM] technique. As corn photosynthesizes, it concentrates the isotope carbon13, whereas most other plants concentrate carbon-12. Dverreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologist use a mass spectrometer to separate the 12C and 13!: isotopes in samples of human remains. Suppose you use a velocity selectorto obtain singly ionized {missing one electron] atoms of speed 8.5 kmfs and want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12C. The measured masses of these isotopes are 1.99 X 1025 kg {12(3] and 2.16 X 1026 kg {13(2]. 9' What strength of magnetic field is required? {3 marks] b. What is the diameter of the 13C semicircle? [3 marks] What is the separation of the 12C and 13'C ions in the detector at the end of the semicircle? {3 marks] d. Is this distance large enough to be easily observed? {1 marks] Path of 13C ions Path of \"C ions @GJGJGJ (9 (9 Mass Spectrometer