Practice question
Question
An electromagnetic wave in vacuum has a wavelength of \( 15 \, \text{m} \). What is its frequency?
(Given \( c = 3 \times 10^8 \, \text{m/s} \))
Explanation
**Hertz experiment** produced radio waves using spark gap LC oscillator, detected with loop antenna, confirming Maxwell's prediction, frequency ≈10⁸ Hz, wavelength ≈3 m, demonstrating EM waves travel at c, transverse, can be reflected, refracted, polarized. Using v λ = c , we have v = (c/λ) = (3 × 10⁸/15) = 2 × 10⁷ Hz . Using c = fλ, E₀/B₀ = c, I_d = ε₀ dΦ_E/dt, and spectrum classification λ = c/f, evaluation yields 2 × 10⁷ Hz, illustrating EM wave transverse nature and Maxwell's displacement current concept.
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