A rectangular conducting loop of length 4cm and width 2cm is in the xy -plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the direction  $\frac{\sqrt{3}}{2}\widehat{\mathrm{x}}+\frac{1}{2}\widehat{\mathrm{y}}$ with a constant speed v. The wire is carrying a steady current $\mathrm{I}=10 \mathrm{A}$ in the positive x-direction. A current of 10 $\mu$A flows through the loop when it is at a distance d=4 cm from the wire. If the resistance of the loop is 0.1Ω, then the value of v is _______ ms⁻¹.
[Given: The permeability of free space  $\left.{\mathrm{\mu }}_0=4\mathrm{\pi }\times {10}^{-7}{\mathrm{NA}}^{-2}\right]$