A rectangular conducting loop of length 4 cm and width 2 cm is in the $x y$-plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the direction $\frac{\sqrt{3}}{2} \hat{\mathrm{x}}+\frac{1}{2} \hat{\mathrm{y}}$ with a constant speed v . The wire is carrying a steady current $I=10 \mathrm{~A}$ in the positive $x$-direction. A current of $10 \mu \mathrm{~A}$ flows through the loop when it is at a distance $d=4 \mathrm{~cm}$ from the wire. If the resistance of the loop is $0.1 \Omega$, then the value of $v$ is $\_\_\_\_$ $\mathrm{m} \mathrm{s}^{-1}$. [Given: The permeability of free space $\mu_0=4 \pi \times 10^{-7} \mathrm{~N} \mathrm{~A}^{-2}$ ]