A beam of hydrogen atoms is used in a Stern Gerlach type experiment. The atoms emerge from the oven with a velocity v = 10^4m/sec. They enter a region 20 cm long where there is a magnetic field…

A beam of hydrogen atoms is used in a Stern-Gerlach type experiment. The atoms emerge from the oven with a velocity v = 10^4m/sec. They enter a region 20 cm long where there is a magnetic field gradient $$\frac{dB}{dz}=3\times 10^4\text{ T/m}$$. The field gradient is perpendicular to the incident velocity of the atoms. The mass of the hydrogen atom is $$1.67\times 10^{-27}\text{ kg}$$. What is the separation of the two components of the beam as they emerge from the magnet?