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Question

What is the wavelength of an electromagnetic wave in vacuum with frequency \( 50 \, \text{MHz} \)?
(Given \( c = 3 \times 10^8 \, \text{m/s} \))

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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. Using v λ = c , we have λ = (c/v) = (3 × 10⁸/50 × 10⁶) = 6 m . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 6 m, illustrating EM wave transverse nature and Maxwell's displacement current concept.

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