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Question

An electromagnetic wave has a wavelength of \( 3 \, \text{m} \) in vacuum. What is its wave number \( k
\)?

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Explanation

**X-rays in medicine** treat certain cancers because high-energy photons ionize and damage DNA of malignant cells, also imaging because bones absorb more than tissue, contrast. Gamma rays from Co-60 used for radiotherapy, energy ≈1.17 and 1.33 MeV, highly penetrating. The wave number k = (2 π/λ) . Given λ = 3 m , k = (2 π/3) ≈ 2.09 rad/m . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 2.09 rad/m, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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