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:

In Faraday-Henry’s experiment, a coil is connected to a galvanometer. For the deflection of the pointer in the galvanometer, which of the following statement/s is/are $WRONG$? The pointer in the galvanometer deflects -
$(a)$ When the bar magnet is moved towards the stationary coil along its axis
$(b)$ When the bar magnet is moved away from the stationary coil along its axis
$(c)$ When the coil is moved towards the stationary bar magnet along its axis
$(d)$ When the coil and the magnet are moved without relative motion between them

Suppose a long solenoid of $100 \ cm$ length, radius $2 \ cm$ having $500 \ turns/cm$ carries a current $I = 10 \sin(\omega t) \ A$, where $\omega = 1000 \ rad/s$. $A$ circular conducting loop $(B)$ of radius $1 \ cm$ is coaxially placed inside the solenoid. The r.m.s. current through the loop when the coil $B$ is inside the solenoid is $\alpha / \sqrt{2} \ \mu A$. The value of $\alpha$ is . . . . . . . [Resistance of the loop $= 10 \ \Omega$]

An electric generator is based on . . . . . .

$A$ magnetic field $B = 2t + 4t^{2}$ (where $t$ is time) is applied perpendicular to the plane of a circular wire of radius $r$ and resistance $R$. If all units are in $SI$, the electric charge that flows through the circular wire during $t = 0 \ s$ to $t = 2 \ s$ is:

The magnetic flux through a loop of resistance $10 \Omega$ is given by $\phi = 5t^2 - 4t + 1 \text{ Wb}$. How much current is induced in the loop after $0.2 \text{ s}$ (in $\text{ A}$)?