In the circuit shown below, the current through inductor is zero when battery is not connected  $(t<0)$. At  $t=0$, switch $S_1$  is also closed, then which of the following is true just after time  $t_1$?

Potential difference across  $R_1$ increases  $\therefore i_{R_1}\uparrow$
Potential difference across  $R_2$ increases  $\therefore i_{R_2}\uparrow$      remains unchanged
Potential difference across  $L=0\Rightarrow \frac{Ld{i}_L}{dt}=0$
$\Rightarrow i_L=$   constant
$i_{battery}=i_{R_1}+i_{R_2}\Rightarrow$  Increases