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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 figure. The resistance of the coil having inductance L is also R. Which of the following statements give the correct description of the happenings when the switch S is closed?

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The bulb $B_{2}$ lights up earlier than $B_{1}$ and finally both the bulbs shine equally bright

$B_{1}$ light up earlier and finally both bulbs acquire equal brightness

$B_{2}$ 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

answer is C.

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Detailed Solution

$∵$ Inductor opposes sudden change in current.
$∴$ Initial current in $B_{1}$ is zero
In steady state currents are same because resistances of branches are same.

But, voltage drop across bulbs is different.

$V_{B 1} > V_{B 2}$

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