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