Electromagnetic induction was first studied by

A square-shaped conducting wire loop of dimension a moving parallel to the $x$-axis approaches a square region of size $b(a<b)$ where a uniform magnetic field $B$ exists pointing into the plane of the paper (see figure). As the loop passes through this region, the plot correctly depicting its speed $\left(v\right)$ as a function of $x$ is.

An infinitely long straight wire carrying current $I$, one side opened rectangular loop and a conductor $C$ with a sliding connector are located in the same plane, as shown in the figure. The connector has length $l$ and resistance $R$. It slides to the right with a velocity $v$. The resistance of the conductor and the self-inductance of the loop are negligible. The induced current in the loop, as a function of separation $r$, between the connector and the straight wire is:

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.

A metallic rod of length $l$ is tied to a string of length $2l$ and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the e.m.f. induced across the ends of the rod is:

What do you mean by electromagnetic induction? Name the two great experimentalists who carried long series of experiments on electromagnetic induction. You are given two coils one galvanometer, one battery and some connecting wires. Describe a experiment that can show the production of electromagnetic induction.

A $1 \mathrm{m}$ long thin metal bar of negligible resistance weighing $1 \mathrm{kg}$ rests on two metal supports as shown in the figure. The supports are connected in series to an ideal cell and a resistance. A uniform magnetic field $0.5 \mathrm{T}$ is applied in the region normal to the plane of the paper and into the paper. Maximum emf that the cell can have without breaking the circuit in volt is
(Acceleration due to gravity $=10 \mathrm{m} {\mathrm{s}}^{-2}$ )