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