$A$ coil has an area of $0.05\, m^2$ and it has $800$ turns. It is placed perpendicularly in a magnetic field of strength $4 \times 10^{-5}\, Wb/m^2$. It is rotated through $90^o$ in $0.1\, s$. The average $e.m.f.$ induced in the coil is (in $, V$)

$A$ metal loop of area $10 \,cm^2$ is placed in a region such that its area vector points along $\hat{k}$. The region contains a uniform magnetic field of magnitude $1.73 \,T$ that points in the direction $\hat{i}+\hat{j}+\hat{k}$. When the magnetic field is switched off, the field decreases to zero at a steady rate in $10 \,s$, then the magnitude of emf induced in the loop is (in $\,mV$)

Two different loops are concentric and lie in the same plane. The current in the outer loop is clockwise and increasing with time. The induced current in the inner loop then,is

The magnitude of induced emf is directly proportional to the rate of change of magnetic flux linked with the coil. This statement is known as

The magnetic field $B$ crossing normally a square metallic plate of area $4\,m^2$ changes with time as shown in the figure. The magnitude of the induced $emf$ in the plate during $t=2\,s$ to $t=4\,s$ is $..........\,mV$.

Whenever a magnet is moved towards or away from a conducting coil,and an e.m.f. is induced,the magnitude of which is independent of: