A beam of neutral hydrogen atoms with a speed of 104 m/s along the x-axis enters a 1 m long region where there is an inhomogeneous magnetic field pointing in the z-direction but with a gradient (variation) in the z-direction given by 0.01 T/m. Given the atom's magnetic dipole moment of 9.27 1024 J/T, compute the following.
(a) The acceleration of the atoms while in the magnetic field region.
(b) The possible deflections in the z-direction of the atoms as they pass through the magnetic field region, depending on whether the atom's magnetic moment is along the z or z direction.