$A$ conducting square loop of side $l$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. $A$ uniform and constant magnetic field $B$ exists perpendicular to the plane of the loop as shown in the figure. The current induced in the loop is

Consider the experiment shown in the figure.
$(a)$ What would you do to obtain a large deflection of the galvanometer?
$(b)$ How would you demonstrate the presence of an induced current in the absence of a galvanometer?

Consider a magnet surrounded by a wire loop with an on/off switch $S$ as shown in the figure. If the switch is thrown from the off position (open circuit) to the on position (closed circuit), will a current flow in the circuit? Explain.

$A$ magnet is brought towards a coil $(i)$ speedily and $(ii)$ slowly. What will be the induced $e.m.f.$ and induced charge, respectively?

An insulated copper wire of $100$ turns is wrapped around a wooden cylindrical core of the cross-sectional area $24\,cm^2$. The two ends of the wire are connected to a resistor. The total resistance in the circuit is $12\,\Omega$. If an externally applied uniform magnetic field in the core along its axis changes from $1.5\,T$ in one direction to $1.5\,T$ in the opposite direction,the charge flowing through a point in the circuit during the change of magnetic field will be $.........\,mC$.

$A$ conducting loop of radius $10/\sqrt{\pi}$ $cm$ is placed perpendicular to a uniform magnetic field of $0.5$ $T$. The magnetic field is decreased to zero in $0.5$ $s$ at a steady rate. The induced emf in the circular loop at $0.25$ $s$ is (in $mV$)