Electromagnetic Waves

JEE Main level, single correct, medium

38 of 165

Question 38 of 165

Match List I with List II List I List II A. Gauss’s law of magnetostatics i. ∮E⃗⋅da⃗=1ϵ0∫ρdV\oint \vec{E}\cdot d\vec{a}=\dfrac{1}{{\epsilon }_{0}}\int \rho dV B. Faraday’s law of electro magnetic induction ii. ∮B⃗⋅da⃗=0\oint \vec{B}\cdot d\vec{a}=0 C. Ampere’s law iii. ∮E⃗⋅dl⃗=−ddt∫B⃗⋅da⃗\oint \vec{E}\cdot d\vec{l}=\dfrac{-d}{dt}\int \vec{B}\cdot d\vec{a} D. Gauss’s law of electrostatics iv. ∮B⃗⋅dl⃗=μ0I\oint \vec{B}\cdot d\vec{l}={\mu }_{0}I Choose the correct answer from the options given below:

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

Gauss’s law of magnetostatics:
∮B⃗⋅da⃗=0\oint \vec{B}\cdot d\vec{a}=0
Faraday’s law of electro magnetic induction:
∮E⃗⋅dl⃗=−ddt∫B⃗⋅da⃗\oint \vec{E}\cdot d\vec{l}=\dfrac{-d}{dt}\int \vec{B}\cdot d\vec{a}
Ampere’s law:
∮B⃗⋅dl⃗=μ0I\oint \vec{B}\cdot d\vec{l}={\mu }_{0}I
Gauss’s law of electrostatics:
∮E⃗⋅da⃗=1ϵ0∫ρdV\oint \vec{E}\cdot d\vec{a}=\dfrac{1}{{\epsilon }_{0}}\int \rho dV

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