A coil of self inductance 10 mH and resistance of $0.1 \Omega$ is connected through a switch to a battery of internal resistance $0.9 \Omega$. After the switch is closed, the time taken for the current to attain $80\%$ of the saturation value is: $[\ln 5 = 1.6]$\\
(1) 0.103 s\\
(2) 0.002 s\\
(3) 0.324 s\\
(4) 0.016 s