Correctly match the two lists.
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. \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (S)},\mathrm{(C)\rightarrow (P)}, \mathrm{(D)\rightarrow (Q)}\)
Subtopic:  Maxwell's Equations |
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Level 1: 80%+
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Match List-I with List-II.
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
Choose the correct answer from the options given below:
1. \(\mathrm{A\text-II, B\text{-}III, C\text{-}I, D\text{-}IV}\)
2. \(\mathrm{A\text-II, B\text{-}III, C\text{-}IV, D\text{-}I}\)
3. \(\mathrm{A\text-I, B\text{-}IV, C\text{-}III, D\text{-}II}\)
4. \(\mathrm{A\text-IV, B\text{-}I, C\text{-}II, D\text{-}III}\)
Subtopic:  Maxwell's Equations |
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