problem43_05 - 43.5 a U B z B N and S point in the same...

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43.5: a) - = = S N B μ and . B U z μ point in the same direction for a proton. So if the spin magnetic moment of the proton is parallel to the magnetic field, , 0 < U and if they are antiparallel, . 0 U So the parallel case has lower energy. The frequency of an emitted photon has a transition of the protons between the two states given by: Hz. 10 02 . 7 ) s J 10 63 . 6 ( ) T 65 . 1 )( T J 10 051 . 5 )( 7928 . 2 ( 2 2 7 34 27 × = × × = = - = = - - - + h B μ h E E h E f z m. 27 . 4 Hz 10 02 . 7 s m 10 00 . 3 λ 7 8 = × × = = + f c This is a radio wave. b) For electrons, the negative charge means that the argument from part (a) leads to the 2 1 - = s m state (antiparallel) having the lowest energy, since
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