A source of constant voltage V is connected to a resistance R and two ideal inductor `L_(1) and L_(2)` through a switch S as shown. There is no mutual inducance between the two inductors. The swtich S is initially open. At t=0, the switch is closed and current begins to flow. Which of the following options is / are correct ?
A. After a long time, the current through `L_(2)` will be `(V)/(R )(L_(1))/(L_(1)+L_(2))`
B. At t=0, the current through the resistance R is `(V)/( R)`
C. After a long time, the current through `L_(1)` will be `(V)/( R)(L_(2))/(L_(1)+L_(2))`
D. The ratio of the current through `L_(1) and L_(2)` is fixed at all times `(t gt 0)`
