A magnet of total magnetic moment 10^-2 i A - m^2 is placed in a time varying magnetic field, B i ( cos ω t) where B =1 Tesla and ω=0.125 rad / s.…

A magnet of total magnetic moment $\displaystyle 10^{-2} \hat{i} \mathrm{~A}-\mathrm{m}^2$ is placed in a time varying magnetic field, $\displaystyle \mathrm{B} \hat{i}(\cos \omega t)$ where $\displaystyle \mathrm{B}=1$ Tesla and $\displaystyle \omega=0.125 \mathrm{rad} / \mathrm{s}$. The work done for reversing the direction of the magnetic moment at $\displaystyle \mathrm{t}=1$ second, is :