Chapter 40: Problem 12
When a hydrogen atom undergoes a transition from the \(n\) = 2 to the \(n\) = 1 level, a photon with \(\lambda\) = 122 nm is emitted. (a) If the atom is modeled as an electron in a one-dimensional box, what is the width of the box in order for the \(n\) = 2 to \(n\) = 1 transition to correspond to emission of a photon of this energy? (b) For a box with the width calculated in part (a), what is the ground-state energy? How does this correspond to the ground-state energy of a hydrogen atom? (c) Do you think a one-dimensional box is a good model for a hydrogen atom? Explain. (\(Hint\): Compare the spacing between adjacent energy levels as a function of n.)
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.