In the context of quantum theory, electromagnetic waves, including gamma rays, can be described both as waves and as particles called photons. However, it's important to note that the number of photons in an electromagnetic wave is not directly related to its frequency.
In classical physics, the intensity of an electromagnetic wave is proportional to the square of its amplitude. Therefore, one might assume that a wave with a higher frequency (such as a gamma ray) would have more photons and thus higher intensity. However, in the quantum framework, the situation is different.
According to quantum theory, electromagnetic waves are quantized into discrete packets of energy called photons. Each photon carries a specific amount of energy proportional to its frequency. The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the wave.
While the energy of each photon is directly related to the frequency of the wave, the number of photons in an electromagnetic wave is not determined by its frequency. The number of photons can vary independently of the wave frequency and depends on factors such as the intensity of the light source.
So, to answer your question, a high-frequency electromagnetic wave, such as a gamma ray, carries photons with higher energy but not necessarily a greater number of photons. The number of photons in an electromagnetic wave is independent of its frequency and depends on other factors.