A spin 1/2 particle is in an orbital angular momentum

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A spin 1/2 particle is in an orbital angular momentuml=1state.

a) Starting with the total angular momentum statej, m  data-src=

b) If the particle is in a total angular-momentum eigenstate with z-componentth/2, calculate the probability of finding the z-component of the spin of the particle to have the valuemg = +1/2

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