A beam of hydrogen atoms is used in a Stern-Gerlach type experiment. The atoms emerge from the oven with a velocity v = 10⁴m/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?