Higher amplitude light does not necessarily mean more photons hitting the metal surface. The amplitude of light refers to the maximum displacement of the electric field associated with the light wave, which determines its brightness or intensity.
The number of photons hitting the metal surface is determined by the intensity of the light, which is related to the number of photons per unit area per unit time. The intensity of light is proportional to the square of the amplitude of the electric field. However, the energy carried by each individual photon is determined by the frequency of the light wave.
In general, brighter light (higher intensity) contains more photons, but the energy of each photon is independent of the light's intensity. So, while higher amplitude light may result in a higher intensity and a greater number of photons, the specific relationship between amplitude and the number of photons hitting a surface depends on the specific conditions and characteristics of the light source and the surface being illuminated.
It's important to note that the interaction between light and metal surfaces can be complex, and factors such as the frequency of light, the properties of the metal, and the specific experimental setup can influence the number of photons that are absorbed or reflected by the metal surface.