The electric field associated with an e.m. wave in vacuum is given by E̅ = î 40 cos (kz − 6 × 10⁸t), where E̅, z and t are in volt/m, meter and seconds respectively. The value of wave vector k is:

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3 m⁻¹. The wave equation is of the form E = E₀ cos(kz - ωt). Here, ω = 6 × 10⁸ rad/s. The wave vector k is related to ω by the relation k = ω/c, where c = 3 × 10⁸ m/s. Substituting, k = (6 × 10⁸) / (3 × 10⁸) = 2 m⁻¹.

The electric field associated with an e.m. wave in vacuum is given by E̅ = î 40 cos (kz − 6 × 10⁸t), where E̅, z and t are in volt/m, meter and seconds respectively. The value of wave vector k is:

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