Current $I$ through a given p-n junction when a voltage $V$ is applied across it is given to be $I = I_0(e^{V/(2V_T)} - 1)$ where $I_0$ and $V_T$ are constants. If $r_d(I)$ is the dynamic resistance of the junction, then $r_d(1000I_0) = \alpha \cdot r_d(10I_0)$, where $\alpha$ is approximately equal to