# Question: electrons are dropped a distance down an evacuated tube...

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Electrons are dropped a distance π» down an evacuated tube and strike a target at the bottom. At the top of the tube the electronsβ position is known to some precision determined by the uncertainty principle. Use the uncertainty principle to show that the uncertainty in where the electrons hit the target is given by Ξπ₯ = ( 2β ππ ) 1β2 ( 2π» π ) 1β4 If the tube is 2.0 meters high, what is Ξπ₯.