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Question

An electromagnetic wave in vacuum has a wavelength of \( 12 \, \text{m} \). What is its frequency?
(Given \( c = 3 \times 10^8 \, \text{m/s} \))

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Explanation

**Gamma rays** λ<10⁻² nm, f>10¹⁹ Hz, produced by nuclear transitions and radioactive decay, associated with nuclear processes because nuclear energy levels MeV vs atomic eV, highest photon energy, used in cancer treatment due to high penetration and cell damage, also sterilization, astronomy. Using v λ = c , we have v = (c/λ) = (3 × 10⁸/12) = 2.5 × 10⁷ Hz . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 2.5 × 10⁷ Hz, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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