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Question

An electromagnetic wave in vacuum has a frequency of \( 25 \, \text{MHz} \). What is its wavelength?
(Given \( c = 3 \times 10^8 \, \text{m/s} \))

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Explanation

**Momentum of EM wave** p = U/c, U energy, radiation pressure exerts force F = I A/c, small but measurable, comet tail pushed by sunlight, solar sail concept. For E₀=45 V/m, B₀=1.5×10⁻⁷ T, intensity I =0.5×3×10⁸×8.85×10⁻¹²×45²≈2.69 W/m². Using v λ = c , we have λ = (c/v) = (3 × 10⁸/25 × 10⁶) = 12 m . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 12 m, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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