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Does an electron change its energy when the spin projection is changed?

When an electron changes its spin projection in a magnetic field does it receive or take energy? When the initial spin projection is indefinite (as is according to QM) how much is that energy?
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An electron moving through a magnetic field [closed]

An electron, that has been accelerated from rest by a potential difference of $250\ \rm V$, enters a region of magnetic field of strength $0.12\ \rm T$. Show that speed of the electron after ...
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