STANDARDPhysics-Electromagnetic Waves

STANDARD Physics Energy Density MCQ Question

Type: MCQ-numerical-Medium-Class 12

A plane electromagnetic wave with electric field of amplitude 4 V m⁻¹ varies with time propagating along z-axis. The average energy density of the magnetic field (in J m⁻³) is

A

33.29 × 10⁻¹²

B

35.4 × 10⁻¹²

C

37.72 × 10⁻¹²

D

30.1 × 10⁻¹²

Correct Answer

Option B

Detailed Explanation

Amplitude of electric field and magnetic field are related by the relation E₀/B₀ = c. Average energy density of the magnetic field is uₘ = ½B₀²/μ₀ = ½(E₀/c)²/μ₀ = 35.4 × 10⁻¹² J m⁻³.

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