False. The statement that the energy of a photon is independent of wavelength is incorrect. In reality, the energy of a photon is directly proportional to its frequency, and inversely proportional to its wavelength. The relationship between energy (E), frequency (f), and wavelength (λ) of a photon is given by the equation:
E = hf = (hc) / λ
where h is Planck's constant (approximately 6.626 × 10^(-34) joule-seconds) and c is the speed of light (approximately 3.00 × 10^8 meters per second).
This equation shows that as the frequency of a photon increases, its energy increases. Similarly, as the wavelength of a photon decreases, its energy increases. Therefore, the energy of a photon is directly linked to its wavelength and frequency, and they cannot be considered independent of each other.