Coil $1,$ connected to a $1000$ resistor, sits inside coil $2.$ Coil $1$ is connected to a source of $60$ cycle per second AC current. Which statement about coil $2$ is correct? a$.$ No current will be induced in coil $2.$ b$.$ DC current $($current flow in only one direction$)$ will be induced in coil $2.$ c$.$AC current $($current flow in alternating directions$)$ will be induced in coil $2.$ d$.$ DC current will be induced in coil $2,$ but its direction will depend on the initial direction of flow of current in coil $1.$ e$.$ Both AC and DC current will be induced in coil $2.$