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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Waves

Consider an electromagnetic wave travelling through a vacuum, represented by E = E₀ (kx - t) and B = B₀ (kx - t) . Which of the following relations is correct?

Options

  1. AE₀ k^2 = B₀ ^2
  2. BE₀ = B₀ k
  3. CE₀ k = B₀
  4. DE₀ B₀ = k

Correct answer

C. E₀ k = B₀

Step-by-step solution

The speed of an electromagnetic wave in vacuum is given by the ratio of the amplitudes of the electric and magnetic fields: c = E₀ B₀ The wave speed can also be expressed in terms of the angular frequency and the wave number k : c = k Equating the two expressions for the speed of light c : E₀ B₀ = k Cross-multiplying gives: E₀ k = B₀

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