A beam of silver atoms with electron spin ½ travels along the +y-axis. The beam passes through a series of two Stern-Gerlach spin-analyzing magnets, each of which is designed to analyze the spin component along the z-axis. The first Stern-Gerlach analyzer allows only particles with spin up (along the z-axis) to pass through. The second Stern-Gerlach analyzer allows only particles with spin down (along the z-axis) to pass through. The particles travel at speed v between the two analyzers, which are separated by a region of space that has a length d in which there is a uniform magnetic field Bo pointing in the x-direction. (This is just like the previous question, the results of which will prove essential here!) a) Sketch the setup. If Bo=0, how many particles will be transmitted through the 2nd analyzer? Explain your reasoning.

A beam of silver atoms with electron spin ½ travels along the +y-axis. The beam passes through a series of two Stern-Gerlach spin-analyzing magnets, each of which is designed to analyze the spin component along the z-axis. The first Stern-Gerlach analyzer allows only particles with spin up (along the z-axis) to pass through. The second Stern-Gerlach analyzer allows only particles with spin down (along the z-axis) to pass through. The particles travel at speed v between the two analyzers, which are separated by a region of space that has a length d in which there is a uniform magnetic field Bo pointing in the x-direction. (This is just like the previous question, the results of which will prove essential here!) a) Sketch the setup. If Bo=0, how many particles will be transmitted through the 2nd analyzer? Explain your reasoning.