Heisenberg and energy of an electron in a potential well

[CloudDreamer7]

[SOLVED] Heisenberg and energy of an electron in a potential well

Homework Statement

An electron is confined within a one dimensional potential well that measures 1 nm. using the uncertainty principle, estimate the order of magnitude for the ground state energy of the electron in the well in eV.

Homework Equations

The Attempt at a Solution

i used the equality in the uncertainty principle and substituted DeltaY (uncertainty in position) with 10^-9 m . Then you have only 1 unknown which is DeltaP_y (uncertainty in momentum y - component). I got a number from here and then used it in the expression of the KE in terms of momentum (P^2/2m = KE). unfortunately what i got was sth in the order of 10^31 which is surely wrong.

Any ideas ?

 

[Lojzek]

I got about 10^-21 with the same procedure. Try again and be carefull to use correct units.