Electromagnetic Induction question bank (Physics)

In an a.c. generator, a rectangular coil of $1000$ turns each having area $\dfrac{10^{-2}}{\pi}\ \text{m}^2$ is rotated at $180$ r.p.m. about an axis perpendicular to a uniform magnetic field of magnitude $2$ T. The maximum value of e.m.f. produced will be

The value of mutual inductance of two coils is $6$ mH. The current in one of the coil changes from $7$ A to $2$ A in $0.2$ second, so that e.m.f. is induced in the other coil. If the resistance of the coil is $6\ \Omega$, the value of induced charge passing through the coil is