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assuming that the electrons travel very close to C (the speed of light, i.e. 299 792 458 m / s) then simply using:Wavelength = Velocity / frequency

it is given:

Wavelength @50Hz= (299 792 458 (m*sec-1))/(50 (sec-1))=599584917 m = ~6000km

(remember that once the distance gets to factors of 25%, 50%, 100%, 125% ... of the wavelength, funny stuff happens to your transmission line due to the equivalent impedance at the receiving point!)

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