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?

Respuesta :

Answer:

226.2 m/sec

Explanation:

We have given [tex]\Delta x=510nm=510\times 106{-9}m[/tex]

The plank's constant [tex]h=6.67\times 10^{-34}[/tex]

Mass of electron [tex]m=9.11\times 10^{-31}kg[/tex]

Now according to Heisenberg uncertainty principle [tex]\Delta v\geq \frac{h}{2\pi m\Delta x}[/tex]

So [tex]\Delta v\geq \frac{6.6\times 10^{-34}}{2\times 3.14\times 9.11\times 10^{-31}\times 510\times 10^{-9}}=226.2m/sec[/tex]