An inductor $L$, a resistance $R$ and two identical bulbs, $B_1$ and $B_2$ are connected to a battery through a switch $S$ as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch $S$ is closed?

$B_2$ lights up earlier and finally $B_1$ shines brighter than $B_2$

$B_1$ and $B_2$ light up together with equal brightness all the time

The bulb $B_2$ lights up earlier than $B_1$ and finally both the bulbs shine equally bright

$B_1$ lights up earlier and finally both the bulbs acquire equal brightness