Assertion: Long distance power transmission is done at high voltage.
Reason: At high voltage supply, power losses are less.

Given below are two statements:
Statement $I$: An $AC$ circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement $II$: An $AC$ circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor.
In the light of the above statements,choose the correct answer from the options given below:

The output of a step-down transformer is measured to be $48 \,V$ when connected to a $12 \,W$ bulb. The value of peak current is

$A$ coil has inductance of $0.4 \text{ H}$ and resistance of $8 \Omega$. It is connected to an $AC$ source with peak emf $4 \text{ V}$ and frequency $\frac{30}{\pi} \text{ Hz}$. The average power dissipated in the circuit is (in $\text{ W}$)

An $AC$ source of $20\,V$ (assuming standard frequency $f = 50\,Hz$ for calculation) is connected to an inductance of $100\,mH$,a capacitance of $100\,\mu F$,and a resistance of $120\,\Omega$ as shown in the figure. The time in which the resistance,having a thermal capacity of $2\,J/^{\circ}C$,will get heated by $16^{\circ}C$ is ..........$s$.

An $LCR$ circuit is equivalent to a damped pendulum. In an $LCR$ circuit,the capacitor is charged to $Q_0$ and then connected to the $L$ and $R$ as shown below. If a student plots graphs of the square of maximum charge $(Q_{Max}^2)$ on the capacitor with time $(t)$ for two different values $L_1$ and $L_2$ $(L_1 > L_2)$ of $L$,then which of the following represents this graph correctly? (Plots are schematic and not drawn to scale.)