Back to 7.4 The Quantum Particle in a Box

7.4 Exercise 5

Avg difficulty 2.5

Assume that an electron in an atom can be treated as if it were confined to a box of width 2.0 Å2 .\text{0}\textrm{ }\mathring{A}. What is the ground state energy of the electron? Compare your result to the ground state kinetic energy of the hydrogen atom in the Bohr’s model of the hydrogen atom.

OpenStax University Physics Volume 3, 7.4 The Quantum Particle in a Box, exercise 5

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Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.