The energy of a photon is determined solely by its frequency and is not affected by its amplitude.
The formula relating the energy (E) of a photon to its frequency (ν) is given by the equation:
E = h * ν
where E is the energy of the photon, ν is the frequency of the photon, and h is the Planck constant.
Amplitude, on the other hand, is a property associated with wave phenomena, such as the amplitude of an electromagnetic wave, which describes the maximum magnitude of the electric or magnetic field oscillations in the wave. However, the amplitude of a photon itself is not a well-defined concept.
In the case of photons, their energy is solely determined by their frequency. Increasing the amplitude of an electromagnetic wave (which consists of a collection of photons) does not change the energy of individual photons within that wave. Instead, it affects the intensity or the number of photons per unit area, while the energy of each photon remains unchanged.