| List-I | List-II | ||
| (A) | Gauss's law (electrostatics) | (P) | \(\oint\vec {B}\cdot d\vec {A}=0\) |
| (B) | Ampere's circuital law | (Q) | \(\oint\vec {B}\cdot d\vec {l}=\mu_0i_{\text{enclosed}}\) |
| (C) | Gauss's law (magnetism) | (R) | \(\oint\vec E \cdot d \vec A=\dfrac{q_{_{\text{enclosed}}}}{\varepsilon_0}\) |
| (D) | Faraday's law of induction | (S) | \( \varepsilon=-\dfrac{d\phi_{_B}}{dt}\) |
| 1. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (Q)},\mathrm{(C)\rightarrow (S)}, \mathrm{(D)\rightarrow (P)}\) |
| 2. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (Q)},\mathrm{(C)\rightarrow (P)}, \mathrm{(D)\rightarrow (S)}\) |
| 3. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (S)},\mathrm{(C)\rightarrow (Q)}, \mathrm{(D)\rightarrow (P)}\) |
| 4. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (S)},\mathrm{(C)\rightarrow (P)}, \mathrm{(D)\rightarrow (Q)}\) |
| List-I (Relation) | List-II (Law) | ||
| A. | \(\oint \overrightarrow{{E}} \cdot d\overrightarrow{ l}=-\frac{d}{dt} \oint \overrightarrow{B} \cdot d\overrightarrow{a}\) | I. | Ampere's circuital law. |
| B. | \(\oint \overrightarrow{B}\cdot {d} \vec l=\mu_0\left(1+\varepsilon_0 \frac{d \phi_E}{d t}\right)\) | II. | Faraday's laws of electromagnetic induction. |
| C. | \(\oint \overrightarrow{{E}} \cdot d\overrightarrow{a}=\frac{1}{\varepsilon_0} \int \rho {dv}\) | III. | Ampere-Maxwell law |
| D. | \(\oint \overrightarrow{B} \cdot d\overrightarrow{l}=\mu_0 {I}\) | IV. | Gauss's law of electrostatics |