Elements that appear in the same column of the periodic tableoften share similar chemical properties. In the case of thealkaline earth metals, this is troublesome since the body treatscalcium (necessary for proper bone growth) and radium (aradioatictive element) as chemically similar, storing both in bonemarrow. The radium then bombards nearby bone cells with alphaparticles, causing them to \\"crumble.\\" Radium poisoninginvestigations often center on the identification of radium and itsisotopes in bone samples using a mass spectrometer. Pictured is aschematic of a simplified mass spectrometer, showing the paths ofcalcium, barium (another alkaline earth metal) and radium isotopesentering the chamber. The region shown is immersed in a constantmagnetic field of 0.352 T pointing out of the plane of theschematic. Motion of the positively-charged isotopes toward theright was initiated by a potential difference of 3082 V on the twoplates shown. Using the data shown in the table below, calculatethe path radius of the Ca ion.
