A closed coil having `50` turns is rotated in a uniform magnetic field `B=2xx10 T` about a diameter which is perpendicular to the field.The angular velocity of rotation is `300` revolutions per minute.The area of the coil is `100 cm^(2)` and its resistance is `4 Omega`.Find (a) the averatage `emf` developed in half a turn from a position where the coil is perpendicular to the magnetic field (b)the average `emf` in a full turn (c )the net charge flown in part (a) and (d) the `emf` induced as a function of time if it is zero at `t=0` and is increasing in positive direction (e)the maximum `emf` induced. (f)the average of the squares of `emf` induced over a long period