3×10⁸|z₂−z₁|
6×10⁸|z₂−z₁|
1.5×10⁸|z₂−z₁|
1t₁+|z₂−z₁|3×10⁸
E = E₀eⁱ(kz-ωt)
At t = t₁, z = z₁, E = 0, the next zero that occurs in its neighborhood is at z₂.
The frequency of the electromagnetic wave at t₂
eⁱ(kz₁-ωt₁) = eⁱ(kz₂-ωt₂)
kz₁ - ωt₁ = kz₂ - ωt₂
(t₂ - t₁)ω = k(z₂ - z₁)
where k = 2π/λ, ω = 2πν
(t₂ - t₁) = 2πν(z₂ - z₁)/2π/λ = λν/c (z₂ - z₁)
(t₂ - t₁) = λ/c(z₂ - z₁)
λ = c(t₂ - t₁)/(z₂ - z₁)
Frequency is f ≈ 1/t then 1/(t₂ - t₁) = c/(z₂ - z₁)
Frequency = 3×10⁸/(|z₂ - z₁|)