A long solenoid of diameter 0.1 m 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 0 A from 4 A in 0.05 s. If the resistance of the coil is 10π2 Ω, then the total charge flowing through the coil during this time is ___________.

Fill in the blank with the correct answer from the options given below.

1
16 μC
2
32 μC
3
16 π μC
4
32 π μC

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