NEET 2017 Physics, question 38.

A long solenoid of diameter 0.1 m has $2\times10^4$ 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 0A from 4 A in 0.05 s. If the resistance of the coil is $10\pi^2$ $\Omega$, the total charge flowing through the coil during this time is :