A nonrelativistic electron is confined to a length of 500 pm on the x -axis. Wha

Question

A nonrelativistic electron is confined to a length of 500 pm on the x-axis. What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? ( h = 1.055 A nonrelativistic electron is confined to a length of 500 pm on the x-axis. What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? ( h = 1.055 A nonrelativistic electron is confined to a length of 500 pm on the x-axis. What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? ( h = 1.055

Explanation / Answer

Heisenberg's uncertainty:
x.mv=h/4

[h/(4 pi)] / [ (500 x 10^(-12) m) (9.11 x 10^(-31) kg) ]


= 1.055 x 10^(-34) J s / [2 pi x 10^(-9) m x 9.11 x 10^(-31) kg]
= 1.055 x 10^6/ 18.22pi
=0.00038

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