Answer:
[tex]\Delta U= 4.8204\times10^{-24} J[/tex]
Explanation:
The difference between parallel and anti parallel alignment of the z component of an electron's spin magnetic dipole moment is given by
[tex]U_1-U_2= (-\mu Bcos(\theta_2))-(-\mu Bcos(\theta_1))[/tex]
where μ= dipole moment B= strength of magnetic field and θ= angle between direction of magnetic field and dipole
here θ_2 and θ_1 are 180 and 0° respectively.
[tex]U_1-U_2= (\mu B)-(-\mu B)[/tex]
[tex]U_1-U_2= 2\mu B[/tex]
here μ is bohr magnetron or magnetic moment of an electron = 9.27×10^{-24}
put this value we get
[tex]U_1-U_2= 2\times 9.27\times10^{-24}(0.26)[/tex]
[tex]\Delta U= 4.8204\times10^{-24} J[/tex]