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The energy of an electromagnetic wave contained in a small volume oscillates with

Asked in JEE Main 10th April 1st Shift 2023 · Instantaneous and average energy density

Answer: (2) double the frequency of the wave

Step-by-step solution

u = 1/2ε₀E² + B²/2μ₀ with E = E₀ sin(ω t - kx), so u ∝ sin²(ω t - kx)

sin²θ = (1 - cos 2θ)/2, so u oscillates at angular frequency 2ω

That is twice the frequency of the wave itself

Why the other options are wrong

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