A circular coil having 200 turns, $2.5 \times 10^{-4} \mathrm{~m}^2$ area and carrying 100$\mu \mathrm{A}$ current is placed in a uniform magnetic field of 1" " T. Initially the magnetic dipole moment $(\overrightarrow{\mathrm{M}})$ was directed along $\overrightarrow{\mathrm{B}}$. Amount of work, required to rotate the coil through $90^{\circ}$ from its initial orientation such that $\overrightarrow{\mathrm{M}}$ becomes perpendicular to $\vec{B}$, is $\mu \mathrm{J}$.