A rectangular conducting loop of length 4 cm and width 2 cm 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 $$\frac{\sqrt{3}}{2}\hat{x} + \frac{1}{2}\hat{y}$$ with a constant speed $$v$$. The wire is carrying a steady current I = 10 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 0.1 $$\Omega$$, then the value of $$v$$ is ____ ms$$^{-1}$$.

[Given: The permeability of free space $$\mu_0 = 4\pi \times 10^{-7}$$ NA$$^{-2}$$]