Match List I with List II:

List-I	List-II
A. Gauss's law of magnetostatics	I. ∮ E · d a = (1)/(ε₀) ∫ ρ dV$\oint \vec{E} \cdot \mathrm{d}\vec{a} = \frac{1}{\varepsilon_0} \int \rho \mathrm{d}V$
B. Faraday's law of electro magnetic induction	II. ∮ B · d a = 0$\oint \vec{B} \cdot \mathrm{d}\vec{a} = 0$
C. Ampere's law	III. ∮ E · d l = - ddt∫ B · d a$\oint \vec{E} \cdot \mathrm{d}\vec{l} = -\frac{\mathrm{d}}{\mathrm{d}t}\int \vec{B} \cdot \mathrm{d}\vec{a}$
D. Gauss's law of electrostatics	IV. ∮ B · d l = μ₀ I$\oint \vec{B} \cdot \mathrm{d}\vec{l} = \mu_0 I$

Choose the correct answer from the options given below:

Related Formula

Core Logic

For an electromagnetic wave, the total average energy density is the sum of the average energy density of the electric field and the magnetic field. They are equal, so:

Where E₀$E_0$ is the amplitude of the electric field.

Step 2: Substitution

Given: E₀ = 50 V/m$E_0 = 50 \mathrm{\, V/m}$ ε₀ = 8.85 × 10⁻¹² C²/(N· m²)$\epsilon_0 = 8.85 \times 10^{-12} \mathrm{\, C^2/(N\cdot m^2)}$

Chapter Mix

Class 12 Physics: Electromagnetic Waves