The direction of induced current in a circuit is given by

A magnet kept at the centre of two coils $A$ and $B$ is moved  to and fro as shown in the diagram. The two galvanometers show deflection.

State with a reason whether: $x>y$  or $x<y$ [$x$ and $y$ are magnitudes of deflection]

The diagram below shows two circular loops of wire $A$ and $B$ centered on and perpendicular to the $x$-axis, and oriented with their planes parallel to each other. The $y$-axis passes vertically through loop $A$ (dashed line). There is a current $I_B$ in loop $B$ as shown. Possible actions which we might perform on loop $A$ are

(i) Move $A$ to the right along $x$-axis closer to $B$.
(ii) Move $A$ to the left along $x$-axis away from $B$.
(iii) As viewed from above, rotate $A$ clockwise about $y$-axis.
(iv) As viewed from above, rotate $A$ anticlockwise about $y$-axis Which of these actions will induce a current in $A$ only in the direction shown.

The magnetic flux linked with a coil (in $\mathrm{Wb}$) is given by the equation  $\varphi =5t^2+3t+16$. The magnitude of induced emf in the coil at the fourth second will be:

A square conducting loop is placed near an infinitely long current-carrying wire with one edge parallel to the wire as shown in the figure. If the current in the straight wire is suddenly halved, which of the following statements will be true?
"The loop will "
 

A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer $\text{G}$ attached across the coil?

A copper ring having a cut such that it does not form a complete loop is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. Then acceleration of the falling magnet is