The wave nature of particles results in the quantum mechanical situation that a particle confined in a box can assume only wavelengths that result in standing waves in the box, with nodes at the box walls.(a) Show that an electron confined in a one dimensional box of length L will have energy levels given by(b) If a hydrogen atom is modeled as a one-dimensional box with length equal to the Bohr radius, what is the energy (in electron volts) of the lowest energy level of theelectron?

Transcribed Image Text:

E nh 8mL2