All questions
AP Physics 2
15.3 Emission and Absorption Spectra
15.2 The Bohr Model of Atomic Structure
AdvancedMCQMathematicalConceptual19.1k
A schematic diagram showing two concentric circular Bohr orbits around a central positive nucleus labeled +e. The outer orbit has radius r_1 and contains an electron labeled e-. An arrow points radially inward from the outer orbit to an inner orbit of radius r_2 = r_1/4. A wavy arrow representing an emitted photon points outward away from the atom, labeled E_photon. No other labels, lines, text, or axes appear.
Transition of an electron from an orbit of radius \(r_1\) to radius \(r_2 = \dfrac{r_1}{4}\).
An electron of mass \(m\) and charge \(-e\) in a hydrogen atom moves in a circular Bohr orbit of radius \(r_1\) around a fixed nucleus of charge \(+e\). The electron transitions to a lower circular orbit with radius \(r_2 = \dfrac{r_1}{4}\), emitting a single photon of energy \(E_{\text{photon}}\). How does the change in the electron's kinetic energy, \(\Delta K = K_2 - K_1\), compare to the energy of the emitted photon?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5