Final answer:
The colors you see in the flames of metals are related to the unique line spectra produced by each element.
Step-by-step explanation:
The relationship between the colors you see and the lines of the electromagnetic spectrum produced by the metals is that each metal salt has a uniquely colored flame, which is a result of the arrangement of electrons in the metals. When electricity is passed through a gas and light is emitted, we observe only certain lines of light in the image, known as a line spectrum. Every element has its own unique line spectrum, which corresponds to specific energy level differences for electrons in the atom.
For example, when hydrogen is excited, it emits a red light because its most intense line in the spectrum is in the red portion of the visible spectrum. Sodium, on the other hand, emits a yellow light because its most intense lines in the spectrum are in the yellow portion of the spectrum.
In summary, the colors you see in the flames and the lines of the electromagnetic spectrum produced by metals are related through the unique line spectra of each element, which are determined by the arrangement of electrons in the atom.