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Match List-I with List-II. List-I (Relation) A. ∮ **E**·d**l** = - d/dt ∫ **B**·d**a B. ∮ **B**·d**l** = μ0 (1 + ε0 dΦE/dt) C. ∮ **E**·d**a** = 1/ε0 ∫ ρ dv D. ∮ **B**·d**l** = μ0 I List-II (Law) I. Ampere's circuital law. II. Faraday's laws of electromagnetic induction. III. Ampere-Maxwell law IV. Gauss's law of electrostatics Choose the correct answer from the options given below: (1) A-II, B-III, C-I, D-IV (2) A-II, B-III, C-IV, D-I (3) A-I, B-IV, C-III, D-II (4) A-IV, B-I, C-II, D-III

1. A-II, B-III, C-I, D-IV
2. A-II, B-III, C-IV, D-I
3. A-I, B-IV, C-III, D-II
4. A-IV, B-I, C-II, D-III

Correct answer: A-II, B-III, C-IV, D-I

Solution

The correct matches align with the fundamental laws of electromagnetism: A corresponds to Faraday's law of induction, B to the Ampere-Maxwell law which includes displacement current, C to Gauss's law for electrostatics, and D to Ampere's circuital law which relates magnetic fields to electric currents.

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