A long solenoid of radius $2\, cm$ has $100\, turns/cm$ and carries a current of $5\,A$. A coil of radius $1\, cm$ having $100\, turns$ and a total resistance of $20\,\Omega $ is placed inside the solenoid coaxially. The coil is connected to a galvanometer. If the current in the solenoid is reversed in direction, find the charge flown through the galvanometer
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