atoms heated in a sample emit only certain colors of light in sharp lines and not all colors blended together tells us what about the energy of an atom?

Allowed energy states are quantized in an atom, and it emits specific value photons when electrons go from one energy state to another.

The phenomenon of atoms emitting only certain colors of light in sharp lines, instead of emitting a continuous spectrum of colors, is known as atomic line spectrum or atomic emission spectrum. This behavior tells us crucial information about the energy levels of atoms and their electron configuration.

When the atoms of an element are heated or excited in some way (e.g., by applying heat or an electric current), the electrons within those atoms gain energy and move from their lower energy levels to higher energy levels. These excited electrons are unstable at higher energy levels and tend to quickly return to their original lower energy states.

When an electron returns to a lower energy level, it releases the excess energy it gained in the form of light. Each energy level in an atom corresponds to a specific amount of energy, and therefore, each transition of an electron from a higher to a lower energy level corresponds to the emission of a specific wavelength (or color) of light.

The fact that atoms emit only certain colors of light in sharp lines means that the energy levels of the electrons in an atom are quantized, meaning they can only exist at specific discrete energy levels. The sharp lines in the atomic emission spectrum correspond to these specific energy transitions between the electron energy levels.

By studying the pattern and wavelengths of the emitted light, scientists can identify the elements present in a sample. Each element has a unique set of energy levels and electron configurations, resulting in a distinctive atomic emission spectrum. So, the observation of certain colors of light in sharp lines rather than a continuous spectrum indicates the quantized nature of energy in atoms.