Two Stern-Gerlach apparatus S1 and S2 are kept in a line ( x -axis). The directions of their magnetic fields are along the positive z and y -axes, respectively. Each apparatus only transmits particles with spins aligned in thee direction of its magnetic field. If an initially unpolarized beam of spin \(\frac{1}{2}\) particles passes through this configuration, the ratio of intensities l0 : lf of the initial and final beams is 

1
16 : 1
2
2 : 1
3
4 : 1
4
1 : 0

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