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The average energy stored in the electric field, Uₑ = 1/2 ε₀E². The average energy stored in the magnetic field = 1/2 B²/μ₀. According to conservation of energy Uₑ = Uᵦ.

1. Uₑ = 1/2 ε₀E².
2. Uᵦ = 1/2 B²/μ₀.
3. Uₑ = Uᵦ.
4. B/E = √ε₀μ₀ = 1/c.

Correct answer: B/E = √ε₀μ₀ = 1/c.

Solution

The relationship B/E = √ε₀μ₀ = 1/c is derived from Maxwell's equations, linking the electric and magnetic fields in an electromagnetic wave. This ensures energy conservation in the wave.

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