A beam of singly charged particles of 7Li moves through a uniform magnetic field at a speed of 4.0 km/s. A 7Li particle has a mass of 1.16 × 10-26 kg. The magnetic field deflects the particles' beam, and the beam leaves the magnetic field region perpendicular to the initial direction of incidence. Determine the strength of the magnetic field if the distance traveled by the 7Li beam is 3.24 cm.
In your laboratory, you set up an experiment with a mass spectrometer used to separate ionized particles. A single ionized particle of mass 3.27 × 10-25 kg and with an energy of 1.00 MeV moves in a circle of radius 18.00 cm in a uniform magnetic field. What would be the orbital radius of a doubly ionized particle of mass 1.59 × 10-25 kg entering the same magnetic field with an energy of 1.00 MeV?
In a nuclear experiment, a proton of mass 1.67 × 10-27 kg and a charge of +1.607 × 10-19 C moves in a circular trajectory in a uniform magnetic field. The radius of the circular trajectory is 8.70 mm, and the magnitude of the magnetic field is 1.25 T. Calculate (i) the speed, (ii) the period of revolution of the proton, and (iii) the difference in potential that the proton would need to overcome to reach this speed.
A mass spectrometer's ion source generates electrically charged particles with masses of 3.2 × 10-25 kg and charges of +2 e. The charged particles are accelerated through an electrical field and acquire an energy of 0.40 MeV. Then, the particles pass through a uniform magnetic field of magnitude 1.00 T. Find i) the speed and ii) the radius of the circular path of the charged particles.