A long solenoid having \(100\) turns per cm carries a current of \(\dfrac{4}{\pi}\,\text{A}\). At the centre of it is placed a coil of \(200\) turns of cross-sectional area \(25\,\text{cm}^2\) having its axis parallel to the field produced by the solenoid. When the direction of the current in the solenoid is reversed within \(0.04\,\text{s}\), the induced emf in the coil is: