Consider an electron in an infinite well of width 0.03 nm.
Given : 1eV = 1.60218 × 10^-19 J
hbar = 1.05457 × 10^-34 J s ,

What is the ground-state energy of the electron, in electron volts? Answer in units of keV.

Part b
What is the energy of the first excited state?
Answer in units of keV.

Solution Summary

It finds the ground state energy and first excited state energy of the electron in an infinite well, respectively. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

... 1. An electron is trapped in an infinite potential well ... Suppose the wave function of the electron is given: (see ... b. If we make an energy measurement, what are ...

... B. When the α-particle arrives at B, what kinetic energy (in electron volts) does ... 3. In a television picture tube, electrons strike the screen after being ...

... initially very far apart (effectively an infinite distance apart ... hydrogen atom, in which the electron orbits the ... is the change in the electric potential energy? ...

... of uniform distribution and the energy spectrum of ... baryonic matter (composed of protons, neutrons, and electrons). ... occurred not once but an infinite number of ...

... we want to look at the two dimensional infinite well with ... account the spin, the degeneracy (the number of electrons that can occupy this energy level) is ...

... of 3.5V Calculate the number of electron charge carriers ... Q2(b) What is the potential energy U of the ... the total number of charge carriers (electrons) that pass ...

... in the direction of the field, whereas the negatively charged electrons get shifted ... is given by the sum of the energies stored in ... 8. Energy density of capacitor ...

... (Ideal capacitors have an infinite internal resistance ... orbit of radius 0.75 m, what fraction of its energy does it ... c) If the electron in a hydrogen atom can be ...