Correct Answer - A
At `t = 0`,i.e., when the key is just pressed, no current exiests inside the inductor. So `10 Omega` and `20 Omega` resistance are in series and a net resistance of `(10 + 20) = 30 Omega` exists across the circuit.
Hence, `I_(1) = (2)/(30) = (1)/(15) A`
As `t rarr oo`, the current in the inductor grows to attain a mximum value, i.e., the entrie current passes through the inductor and no current passes through `10 Omega` resistor.
Hence, `I_(2) = (2)/(20) = (1)/(10) A`