Which of the following options represents the Ampere-Maxwell Law?

The existence of electromagnetic waves was first predicted by the scientist .......

$A$ quantity $X$ is given by $\varepsilon_0 L \frac{\Delta V}{\Delta t}$,where $\varepsilon_0$ is the permittivity of free space,$L$ is the length,$\Delta V$ is a potential difference,and $\Delta t$ is a time interval. The dimension of $X$ is the same as that of

Derive the expression for the displacement current term in the modified Ampere's circuital law. Define displacement current and state its $SI$ unit.

What is the phase difference between the space current and the capacitive displacement current produced when radio waves pass through the ionosphere?

Match List-$I$ with List-$II$ and choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| :--- | :--- |
| $A. \oint \vec{B} \cdot d\vec{l} = \mu_0 i_c + \mu_0 \varepsilon_0 \frac{d\phi_E}{dt}$ | $I. \text{Gauss' law for electricity}$ |
| $B. \oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt}$ | $II. \text{Gauss' law for magnetism}$ |
| $C. \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\varepsilon_0}$ | $III. \text{Faraday law}$ |
| $D. \oint \vec{B} \cdot d\vec{A} = 0$ | $IV. \text{Ampere-Maxwell law}$ |