why it is not possible to find the drift velocity of electron by timing their travel along the conductor
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Answer:
Why is it not possible
Who claims that it’s not?
If by “conductor” you meant “a metal wire,” then no, it’s not possible to localize a single QM entity such as an electron.
For that matter, it’s not easy to measure wind speed by tracking individual nitrogen molecules! A single air molecule wanders randomly at several hundred MPH whether wind is blowing or not. The “wind speed” is a global drift of all molecules. To measure wind, we let it carry marker-particles along (smoke, or soap bubbles.) Or, let it deflect a macro object. If not, then you’d have to somehow remove the enormous random-walk from a single tracked molecule, and only detect the tiny long-term average wind.
Electrons act like that: the individuals have crazy QM effects, but two electrons have less, and a billion mobile electrons together act like a fluid; like a macroscopic object with measurable position and velocity.
The easy way to measure electron drift-velocity is to make them visible. Meiners shows how to do this in his multi-volume compendium of physics lecture demonstrations (ref PIRA physics demo 5M10.30) . A transparent salt crystal is heated, while metal tabs are clamped to the ends. If high-voltage is applied, the metal tabs will inject mobile electrons, and these create *color centers* which drift along as electric current. IIRC a crystal of NaCl produces dark gray color from the negative terminal. During the electric current, a “dark wave” progresses across the crystal. Reverse the drive voltage, and the wave reverses direction. We’re seeing the electron-cloud and its drift velocity. Use a ruler and a stopwatch to measure the speed.
But that’s a “conductor,” not a metal wire.
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