An electromagnetic wave has an angular frequency \( \omega = 6 \times 10^{11} \, \text{rad/s} \). What is its frequency
**Relationship E and B** in EM wave E₀ = c B₀, B₀ = E₀/c, for vacuum. Fields sustain each other via Maxwell's equations ∇×E = -∂B/∂t, ∇×B = μ₀ ε₀ ∂E/∂t, time-varying E produces B and vice versa, self-sustaining propagation without medium, speed c. Frequency v = (ω/2π) . Given ω = 6 × 10¹¹ rad/s , v = (6 × 10¹¹/2 π) ≈ 9.55 × 10¹⁰ Hz . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 9.55 × 10¹⁰ Hz, illustrating EM wave transverse nature and Maxwell's displacement current concept.
Ref: NCERT > Physics Book > Electromagnetic Waves > EM Wave Characteristics - Transverse Nature and E/B Ratio
