Final answer:
Atomic spectroscopy is the qualitative method for identifying an element based on the color of light emitted from an excited-state atom.
Step-by-step explanation:
The qualitative method for identifying an element based on the color of light emitted from an excited-state atom is called atomic spectroscopy.
Atomic spectroscopy involves the analysis of the emission spectrum produced when atoms in excited states emit light.
By studying the specific wavelengths of light emitted, scientists can identify the element present.