The SternGerlach experiment of 1922 proVided evidence that angular momentum was quantized, but the theory predicting its result turned out to be incorrectthe beam of silver atoms in the experiment were deflected due to spin angular momentum and not orbital angular momentum. The orbital angular momentum of the silver atoms in the ground state is actually zero. In 1927, T. E. Phipps and J. B. Taylor at the University of Illinois decided to perform an experiment similar to that of Stern-Geriach but using hydrogen rather than silver atoms. Imagine you are one of the experimenters, and you do not yet know about electron spin. You assume that the hydrogen atoms in the experiment are in the I? = 1 state, and use this to predict their deflection when they pass through an inhomogeneous magnetic field. (Like Silver atoms, hydrogen atoms in the ground state have no orbital angular momentum, so in fact the deflection is due to spin angular momentum.) In the experiment, a highly collimated beam of hydrogen atoms travels 3.89 cm horizontally along the +X-direction through an inhomogeneous magnetic field in the z-direction. The atoms come from a discharge tube haying a temperature of 631 K. Assuming the orbital angular momentum quantum number is 4.7 = 1 (and ignoring spin) and the average gradient of the magnetic field is 1063 T/m in the z-direction, determine the maximum deflection (in m) of the beam. Izl = 2.698'10\"3 31' What provides the magnetic moment (keep in mind that you do not know about electron spin)? How is the potential energy of a magnetic dipole related to the magnetic moment and the magnetic field? Knowing the potential energy, how can you determine an expression for the force, then acceleration and finally displacement of the beam? How can you determine the horizontal speed of the hydrogen atoms through the region of the magnetic field? How long does it take the hydrogen atoms to travel through the region of the magnetic field? m