Magnetic flux in a circuit containing a coil of resistance $2\,\Omega$ changes from $2.0\,Wb$ to $10\,Wb$ in $0.2\,s$. The charge passed through the coil in this time is......$C$

$A$ coil of $40 \ \Omega$ resistance has $100$ turns and a radius of $6 \ mm$. It is connected to an ammeter of resistance $160 \ \Omega$. The coil is placed perpendicular to a magnetic field. When the coil is taken out of the field,a charge of $32 \ \mu C$ flows through it. The intensity of the magnetic field is: (in $T$)

$A$ cylindrical bar magnet is kept along the axis of a circular coil. If the magnet is rotated about its axis,then

Statement $-1$: When a magnet is made to fall freely through a closed coil,its acceleration is always less than acceleration due to gravity $(g)$.
Statement $-2$: Current induced in the coil opposes the motion of the magnet,as per Lenz's law.

$A$ coil with an area of $500 \ cm^2$ and $1000$ turns is placed in a magnetic field of $2 \times 10^{-5} \ Wb/m^2$ perpendicular to its plane. If the coil is rotated by $180^o$ in $0.2 \ s$,the induced $emf$ in $milli-volts$ is:

Two identical coaxial circular loops carry current $i$ each circulating in the clockwise direction. If the loops are approaching each other,then