CUET · PHYSICS · PYQ PAPER 2025

Match List-I with List-II
List-I Maxwell's Equations in Vacuum (Left Part) List-II Maxwell's Equations in Vacuum (Right Part)
(A) \(\oint \vec{B} ⋅ d\vec{l}\) (I) \(- \left(\frac{dΦ_B}{dt}\right)\)
(B) \(\oint \vec{E} ⋅ d\vec{A}\) (II) 0
(C) \(\oint \vec{E} ⋅ d\vec{l}\) (III) \(\frac{Q}{ε_0}\)
(D) \(\oint \vec{B} ⋅ d\vec{A}\) (IV) \(μ_0 i_c + μ_0 ε_0 \left(\frac{dΦ_E}{dt}\right)\)
Choose the correct answer from the options given below:

A (A) - (IV), (B) - (II), (C) - (III), (D) - (I)
B (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
C (A) - (II), (B) - (I), (C) - (IV), (D) - (III)
D (A) - (III), (B) - (IV), (C) - (II), (D) - (I)

Verified Solution

Answer & Solution

Correct Answer

(B) (A) - (IV), (B) - (III), (C) - (I), (D) - (II)

Step-by-step Solution

Detailed explanation

(A) \(\oint B \cdot d l-\) (IV) \(\mu_0 i_c+\mu_0 \varepsilon_0\left(\frac{d \Phi_B}{d t}\right)\) (Ampere-Maxwell Law: Magnetic fields are generated by electric currents and changing electric flux). (B) \(\oint E \cdot d A-\) (III) \(\frac{Q}{\varepsilon_0}\) (Gauss's Law for…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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List-I Maxwell's Equations in Vacuum (Left Part)	List-II Maxwell's Equations in Vacuum (Right Part)
(A) \(\oint \vec{B} ⋅ d\vec{l}\)	(I) \(- \left(\frac{dΦ_B}{dt}\right)\)
(B) \(\oint \vec{E} ⋅ d\vec{A}\)	(II) 0
(C) \(\oint \vec{E} ⋅ d\vec{l}\)	(III) \(\frac{Q}{ε_0}\)
(D) \(\oint \vec{B} ⋅ d\vec{A}\)	(IV) \(μ_0 i_c + μ_0 ε_0 \left(\frac{dΦ_E}{dt}\right)\)