Final answer:
The question appears to incorrectly refer to phonons when discussing blue light, which deals with photons. Photons, which are particles of light, have energy that is directly proportional to their frequency. Since blue light has a higher frequency than many other visible light colors, it consequently has higher-energy photons.
Step-by-step explanation:
The question is about comparing the energy of a photon and a phonon of blue light. In this context, phonons are quasiparticles representing quantized vibrations within a crystal lattice, not related to light. However, assuming the question meant to compare the energy of photons of light, we know that the energy of a photon is directly proportional to its frequency. Blue light has a higher frequency than many other colors of visible light, therefore blue light photons have a higher energy.
Comparing this to the energy of phonons would not be accurate in the same context since phonons are not related to light frequencies or photon energies. However, based on the known properties of photons, we can affirm that blue light photons carry a significant energy due to their higher frequency compared to light with lower frequencies within the visible spectrum.