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On comparing the given equation to E̅ = a₀E̅ cos(ωt − kz), ω = 6 × 10⁸, Wave factor, k = 2π/λ = ω/c = 6 × 10⁸ / 3 × 10⁸ = 2 m⁻¹.

1. Wave factor, k = 2 m⁻¹.
2. Wave factor, k = 3 m⁻¹.
3. Wave factor, k = 4 m⁻¹.
4. Wave factor, k = 5 m⁻¹.

Correct answer: Wave factor, k = 2 m⁻¹.

Solution

The wave factor k is calculated using the formula k = ω/c, where ω = 6 × 10⁸ rad/s and c = 3 × 10⁸ m/s. Substituting these values, k = (6 × 10⁸) / (3 × 10⁸) = 2 m⁻¹. Thus, the correct answer is A.

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