The particle accelerator that uses the phenomenon of electromagnetic induction is the:

What is the magnetic induction, If square coil of side $25 \mathrm{cm}$ having $1000$ turns is rotated with a uniform speed is a magnetic field an axis perpendicular to the direction of the field. At an instant $t$. The emf induced in the coil is $e=200\sin 100\pi t$.

A magnetic field of uniformly increasing magnitude is directed into the plane of the page as shown. A conducting loop of wire is on the plane of the page.

Which is correct about the direction and magnitude of the induced current in the wire respectively? 

A loop of the wire contains two identical light bulbs, $L_1$ and $L_2$. The region in the loop contains a changing magnetic field whose direction is normal to the plane of the page. Both light bulbs are lit. A copper wire is placed across the loop as shown in the diagram.

What will be the effect of this wire on the brightness of the light bulbs?

In the figure, the magnet is moved along the axis of the coil from one position to another position in ${10}^{-3} \mathrm{s}$. Now magnet is at rest for $2 \mathrm{s}$, in its new position. The duration of induced emf in the coil is