An excited atom decays to its ground state and emits a green photon. If the atom decayed to an intermediate state instead, the photon emitted could be....

red or blue?

It would have to be of longer wavelength, because the energy gap would be less. Red would be one possibility, but there are others, such as yellow, orange, red-orange and infrared.

Red

If an excited atom were to decay to an intermediate state instead of its ground state, the emitted photon could be either red or blue. The color of the emitted photon depends on the energy difference between the initial excited state and the intermediate state. If the energy difference is such that it corresponds to a longer wavelength, the emitted photon would be red. On the other hand, if the energy difference corresponds to a shorter wavelength, the emitted photon would be blue.

To determine the possible colors of photons emitted when an excited atom decays to an intermediate state, we need to understand the concept of energy levels in atoms.

When an atom is in an excited state, its electrons occupy higher energy levels than they do in the ground state. As these electrons transition to lower energy levels, they release energy in the form of photons.

The energy of a photon is directly related to its wavelength and color. Higher energy photons have shorter wavelengths, which correspond to colors towards the blue end of the visible spectrum. Lower energy photons have longer wavelengths and correspond to colors towards the red end of the spectrum.

In general, when an excited atom transitions to its ground state, it releases a photon with a specific energy level and therefore a specific color. However, for an atom decaying to an intermediate state, the available energy levels may differ, resulting in different colors of emitted photons.

So, an atom decaying to an intermediate state can possibly emit photons of different colors. The specific color of the emitted photon would depend on the energy difference between the intermediate state and the ground state. It could be red, blue, or any other color within the visible spectrum, depending on the energy difference.

To determine the exact color, you would need to know the specific energy difference between the intermediate state and the ground state. This information can typically be obtained from atomic spectroscopy data or theoretical calculations for specific atoms.