Two coil have a mutual inductance 0.005 H. The current changes in first coil according to equation $I = I_0 \sin \omega t $ where $I_0 = 2A$ and $\omega = 100 \pi\; rad/sec$. The maximum value of emf in second coil is

Question

$\begin{array}{1 1} (1)\; 4 \pi \\ (2)\; 3 \pi \\ (3)\; 2 \pi \\ (4)\; \pi \end{array}$