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 .01 T/m. Given the atom's magnetic dipole moment of 9.27 x 10 -24 J/T, comput 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.