A long solenoid of diameter 0.1 m has $$2 \times 10^4$$ 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 $$10 \pi^2 Ω$$, the total charge flowing through the coil during this time is

A

$$32\mu C$$

B

$$16 \pi \mu C$$

C

$$32 \pi \mu C$$

D

$$16\mu C$$