The Stern-Gerlach 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 P = 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 having a temperature of 631 K. Assuming the orbital angular momentum quantum number is P = 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. Izi=:m