Two small and similar bar magnets have magnetic dipole moment of $1.0 \mathrm{A} {\mathrm{m}}^2$ each. They are kept in a plane in such a way that their axes are perpendicular to each other. A line drawn through the axis of one magnet passes through the centre of the other magnet. If the distance between their centres is $2 \mathrm{m}$, the magnitude of magnetic field at the mid point of the line joining their centres is $\sqrt{x}\times {10}^{-7} \mathrm{Wb} {\mathrm{m}}^{-2}$. Write the value of $x$.

(Take ${\mu }_0=4\pi \times {10}^{-7} \mathrm{H} {\mathrm{m}}^{-1}$)