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:

$A$ square loop of side $12 \; cm$ with its sides parallel to $X$ and $Y$ axes is moved with a velocity of $8 \; cm \, s^{-1}$ in the positive $x$-direction in an environment containing a magnetic field in the positive $z$-direction. The field is neither uniform in space nor constant in time. It has a gradient of $10^{-3} \; T \, cm^{-1}$ along the negative $x$-direction (that is, it increases by $10^{-3} \; T \, cm^{-1}$ as one moves in the negative $x$-direction), and it is decreasing in time at the rate of $10^{-3} \; T \, s^{-1}$. Determine the direction and magnitude of the induced current in the loop if its resistance is $4.50 \; m\Omega$.

$A$ coil of self-inductance $L$ is connected at one end of two rails as shown in the figure. $A$ connector of length $l$ and mass $m$ can slide freely over the two parallel rails. The entire setup is placed in a magnetic field of induction $B$ directed into the page. At an instant $t = 0$,an initial velocity $v_0$ is imparted to the connector,and as a result,it starts moving along the $x$-axis. Which of the following graphs best represents the displacement $x$ of the connector as a function of time $t$?

$A$ magnet is made to oscillate with a particular frequency,passing through a coil as shown in the figure. The time variation of the magnitude of $e.m.f.$ generated across the coil during one cycle is

The physical quantity which is measured in the unit of $\text{wb A}^{-1}$ is

The variation of induced emf $(E)$ with time $(t)$ in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as