Two coils have mutual inductance 0.002 H. The current changes in the first coil according to the relation i=i_0 sin ω t, where i_0=5 A and ω=50 π rad…

Two coils have mutual inductance $\displaystyle 0.002$ H . The current changes in the first coil according to the relation $\displaystyle i=i_0 \sin \omega t$, where $\displaystyle i_0=5 \mathrm{~A}$ and $\displaystyle \omega=50 \pi \mathrm{rad} / \mathrm{s}$. The maximum value of emf in the second coil is $\displaystyle \frac{\pi}{\alpha} \mathrm{V}$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.