(Solved): The diagram below is a simplified schematic of a mass spectrometer. Positively-charged isotopes are ...

The diagram below is a simplified schematic of a mass spectrometer. Positively-charged isotopes are accelerated from rest to some final speed by the potential difference of \( 2,477 \mathrm{~V} \) between the parallel plates, The isotopes, having been accelerated to their final speed, then enter the chamber shown, which is immersed in a constant magnetic field of \( 0.521 \) T pointing out of the plane of the schematic. The paths A through G show the trajectories of the various isotopes through the chamber. What will be the fadius of the path fin cm) taken by an ion of mass 229 amu and a charge of \( +2 e \) entering the mass spectrometer's chamber after being accelerted by the paraliel plates? Note that 1 amu \( =1.66 \times 10^{-27} \mathrm{~kg} \) and \( 1 \mathrm{e}=1.60 \times 10^{-19} \mathrm{C} \)