No, the energy of a light wave does not change as it shifts to a longer wavelength. The energy of a light wave is directly proportional to its frequency, not its wavelength. The energy of a photon, the fundamental particle of light, is given by the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the wave.
Wavelength and frequency are related inversely in a vacuum, according to the equation c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency. When a light wave shifts to a longer wavelength, its frequency decreases proportionally, while its energy remains constant as long as the light is not absorbed or scattered.
In summary, while the wavelength of a light wave affects its color or appearance, the energy of the wave itself is determined by its frequency and remains constant unless acted upon by external factors.