Which law is associated with the following equation: $\oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt}$?

When a conducting wire $XY$ is moved towards the right,a current flows in the anti-clockwise direction in the loop. The direction of the magnetic field at point $O$ 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?

Assertion : Faraday's laws are a consequence of the conservation of energy.
Reason : In a purely resistive $AC$ circuit,the current lags behind the $emf$ in phase.

According to Faraday's law of electromagnetic induction:

$A$ coil with $10$ turns and a resistance of $20\,\Omega$ is connected in series with a ballistic galvanometer ($B$.$G$.) of resistance $30\,\Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $10^{-2}\,T$. If it is now turned through an angle of $60^{\circ}$ about an axis in its plane, find the charge induced in the coil $..............\times 10^{-5} \, C$ (Area of the coil $= 10^{-2}\,m^2$).