Which describes the relationship between photon energy and the color of light? violet photons have the least amount of energy. red photons have the most energy. all colors have the same photon energy. red photons have the least amount of energy.

 Red photons have the least amount of energy.

Explanation:

Light is a wave. Visible ligth comprenhends a continuous spectrum of waves. Every color is light of certain frequency range. So, every color has its own range of frequencies and energies.

The visible light has these frequency ranges, which you can search in your textbook or internet:

color               frequency

red                 400 - 484 Hz

orange           484 - 508 Hz

yellow            508 - 526 Hz

green             526 - 606 Hz

blue               606 - 668 Hz

violet              668 - 779 Hz

From that, red photons are in the low end and violet photons are in the high end of frequencies.

The energy of a photon is directly proportional to the frequency. The proportionality constant is the Planck's constant (6.62607004 × 10⁻³⁴ m² kg / s).

From which you conclude that the red photon has the lowest energy and the violet photon has the highest energy.