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For an electromagnetic wave propagating through vacuum, k, E and ω represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by

Asked in JEE Main 6th April 2nd Shift 2026 · Writing B from E, and E from B

Answer: (2) ((k × E))/ω

Step-by-step solution

Ê × B̂ points along k̂, so B̂ = k̂ × Ê (that order, not Ê × k̂)

In magnitude B₀ = E₀/c and k = ω/c, so E₀/c = kE₀/ω

Combining: B = (k × E)/ω

Why the other options are wrong

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