Match the List-$I$ with List-$II$:
List-$I$List-$II$
$A$. Magnetic induction$I$. $MLT^{-2}A^{-2}$
$B$. Magnetic flux$II$. $ML^2T^{-2}A^{-2}$
$C$. Magnetic permeability$III$. $ML^0T^{-2}A^{-1}$
$D$. Self inductance$IV$. $ML^2T^{-2}A^{-1}$

Choose the correct answer from the options given below:

  • A
    $A-IV, B-III, C-I, D-II$
  • B
    $A-III, B-IV, C-II, D-I$
  • C
    $A-I, B-III, C-IV, D-II$
  • D
    $A-III, B-IV, C-I, D-II$

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In $SI$,Henry is the unit of

$A$ source of constant voltage $V$ is connected to a resistance $R$ and two ideal inductors $L_1$ and $L_2$ through a switch $S$ as shown. There is no mutual inductance between the two inductors. The switch $S$ 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 $L_1$ will be $\frac{V}{R} \frac{L_2}{L_1+L_2}$
$[B]$ After a long time,the current through $L_2$ will be $\frac{V}{R} \frac{L_1}{L_1+L_2}$
$[C]$ The ratio of the currents through $L_1$ and $L_2$ is fixed at all times $(t>0)$
$[D]$ At $t=0$,the current through the resistance $R$ is $\frac{V}{R}$

Assertion: $A$ current continues to flow in a superconducting coil even after the switch is off.
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