If a coil of metal wire is kept stationary in a uniform magnetic field, then _____.

In a coil of resistance $100 \mathrm{\Omega }$, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil 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:

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 $=10 \mathrm{m} {\mathrm{s}}^{-2}$ )

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.