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. The resistance $R$ is the same as that of the coil that makes $L$. Which of the following statements gives the correct description of the happenings when the switch $S$ is closed?

  • A
    The bulb $B_2$ lights up earlier than $B_1$ and finally both the bulbs shine equally bright.
  • B
    $B_1$ lights up earlier and finally both the bulbs acquire equal brightness.
  • C
    $B_2$ lights up earlier and finally $B_1$ shines brighter than $B_2$.
  • D
    $B_1$ and $B_2$ light up together with equal brightness all the time.

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$A$ coil of inductance $300\, mH$ and resistance $2\, \Omega$ is connected to a source of voltage $2\, V$. The current reaches half of its steady state value in $t$ seconds. Find the value of $t$. (in $, s$)

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