Electrons with spin in the 𝑧-direction (𝑧̂) are passed through a Stern-Gerlach (SG) set up with the magnetic field at 𝜃 = 60o from 𝑧̂

September 6, 2023

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Q. Electrons with spin in the 𝑧-direction (𝑧̂) are passed through a Stern-Gerlach (SG) set up with the magnetic field at 𝜃 = 60^o from 𝑧̂ . The fraction of electrons that will emerge with their spin parallel to the magnetic field in the SG set up (rounded off to two decimal places) is

Ans: 0.25

Sol:

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Electrons with spin in the 𝑧-direction (𝑧̂) are passed through a Stern-Gerlach (SG) set up with the magnetic field at 𝜃 = 60o from 𝑧̂

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