A certain commercial mass spectrometer is employed to separate uranium ions of mass 3.92 x10-25 kg and charge 3.20 x10-19 C from the related species. The ions are accelerated via a potential difference of 120 kV and then pass to a uniform magnetic field, where they are bent in a path of radius 1.30 m. After traveling via 180° and passing via a slit of width 1.00 mm and height 1.00 cm, they are collected in a cup.
(i) Determine the magnitude of the (perpendicular) magnetic field in the separator?
(ii) When the machine is employed to separate out 160 mg of material per hour, compute the current of the desired ions in the machine.
(iii) In that case, compute the thermal energy generated in the cup in 1.00 h.