Suppose that a hydrogen atom in its ground state moves 80 cm through and perpendicular to a vertical magnetic field that has a magnetic field gradient dB/dz = 1.6 x 102 T/m.
(a) What is the magnitude of force exerted by the field gradient on the atom due to the magnetic moment of the atom's electron, which we take to be 1 Bohr magneton?
(b) What is the vertical displacement of the atom in the 80 cm of travel if its speed is 1.2 x 105 m/s?