A long solenoid of diameter 0.1m has 2×104 turns per meter. At the centre of the solenoid, a coil of
100 turns and radius 0.01 m is placed with its axis
coinciding with the solenoid axis. The current in
the solenoid reduces at a constant rate to -OA from
4A in 0.05s. If the resistance of the coil is 10π2Ω the total charge flowing through the coil during this time is :