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An Atom has zero orbital angular momentum ad a spin quantum number 1/2. It is found to be in the |↑_z> state. A measurement is performed on the value of its angular momentum in a direction at an angle Θ (theta) to the z-axis. Show that the probability of its angular momentum being parallel to this new axis is cos²(Θ/2).

An atom has zero orbital angular momentum and a spin
quantum number . It is found to be in the | †z) state.
A measurement is performed on the value of its angular
momentum in a direction at an angle 0 to the z axis.
Show that the probability of its angular momentum being
parallel to this new axis is cos20/2).

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