Singly ionized carbon is accelerated through 1000 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.200 T. (a) determine the orbit radii for the 12C and 13C isotopes as they pass through the field. (b) Show that the ratio of radii may be written in the form r1/r2 = the square root of m1/m2.