Question

A quantum well is a region of semiconductor or metal film that confines particles to a small region, resulting in quantized energies that are useful for the operation of a variety of electronic devices. If an electron in a quantum well is confined to an area that is 510 nm wide, what is the uncertainty in the electron's velocity along the same direction?

Answer 1

226.2 m/sec

Step-by-step explanation:

We have given
`\Delta x=510nm=510* 106{-9}m`

The plank's constant
`h=6.67* 10^(-34)`

Mass of electron
`m=9.11* 10^(-31)kg`

Now according to Heisenberg uncertainty principle
`\Delta v\geq (h)/(2\pi m\Delta x)`

So
`\Delta v\geq (6.6* 10^(-34))/(2* 3.14* 9.11* 10^(-31)* 510* 10^(-9))=226.2m/sec`