Chapter 41: Problem 2
Model a hydrogen atom as an electron in a cubical box with side length \(L\). Set the value of \(L\) so that the volume of the box equals the volume of a sphere of radius \(a\) = 5.29 \(\times\) 10\(^{-11}\) m, the Bohr radius. Calculate the energy separation between the ground and first excited levels, and compare the result to this energy separation calculated from the Bohr model.
Short Answer
Step by step solution
Find the Volume of the Sphere
Determine Side Length of Cube
Calculate Energy Levels in the Box
Calculate First Excited State
Determine Energy Separation
Compare with Bohr Model
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