Two straight conducting rails form a right angle as shown below. A conducting bar in contact with the rails starts at the vertex at time $t=0$ and moves with constant velocity of $v=5 \mathrm{m} {\mathrm{s}}^{-1}$ along them. A magnetic field with $B=0.1 T$ is directed out of the page. The absolute value of the $\mathrm{emf}$ around the triangle at the time $t=4 \mathrm{s}$ will be?

A horizontal rod of length $L$ rotates about a vertical axis with a uniform angular velocity $\mathrm{\omega }$. A uniform magnetic field $B$ exists parallel to the axis of rotation. Then potential difference between the two ends of the rod is

A rod of length $2 \mathrm{m}$ slides with a speed of $5 \mathrm{m} {\mathrm{s}}^{-1}$ on a rectangular conducting frame as shown in figure. There exists a uniform magnetic field of $0.04 \mathrm{T}$ perpendicular to the plane of the figure. If the resistance of the rod is $3 \mathrm{\Omega }$. The current through the rod is

Consider the situation given in figure. The wire $AB$ slides on the fixed rails with a constant velocity. If the wire $AB$ is replaced by a semicircular wire, the magnitude of the induced current will:

What would be the mutual inductance between two coils of self inductance $2 \mathrm{mH}$ and $8 \mathrm{mH}$ placed so close together that the effective flux in one coil is completely linked with the other ?