Given below are two statements:
Statement-$I$: The reactance of an $ac$ circuit is zero. It is possible that the circuit contains a capacitor and an inductor.
Statement-$II$: In an $ac$ circuit, the average power delivered by the source never becomes zero.
In the light of the above statements, choose the correct answer from the options given below:

The figure shows a system of an inductor and a parallel plate capacitor made of $2$ parallel circular plates of area $A$,filled with a dielectric liquid of dielectric constant $K$. $A$ small leak develops in the capacitor,and the liquid starts to fill the inductor of the same dimensions having $n$ turns per unit length. Find the ratio of the magnitude of the initial reactance to the final reactance of the circuit after the liquid fills the inductor completely.
Given: $\omega^2 A^2 n^2 = c^2$
$\omega \rightarrow$ angular frequency of $AC$
$c \rightarrow$ speed of light
$\mu_r \rightarrow$ relative permeability of the liquid

Given below are two statements :
Statement $I$ : In an $LCR$ series circuit,current is maximum at resonance.
Statement $II$ : Current in a purely resistive circuit can never be less than that in a series $LCR$ circuit when connected to the same voltage source.
In the light of the above statements,choose the correct option from the options given below :

Assertion : In the purely resistive element of a series $LCR$ $AC$ circuit,the maximum value of $rms$ current increases with an increase in the angular frequency of the applied $e.m.f$.
Reason : $I_{\max} = \frac{\varepsilon_{\max}}{Z}$,where $Z = \sqrt{R^2 + (\omega L - \frac{1}{\omega C})^2}$ and $I_{\max}$ is the peak current in a cycle.

$L$,$C$,and $R$ represent the physical quantities inductance,capacitance,and resistance,respectively. Which of the following combinations has the dimensions of frequency?

An $AC$ generator consists of a coil of $100$ turns and is of cross-sectional area $3 \ m^2$. It is rotating at a constant angular speed of $60 \ rad \ s^{-1}$ in a uniform magnetic field of $0.04 \ T$. The resistance of the coil is $360 \ \Omega$. What is the maximum power dissipation in the coil (in $W$)?