What does a higher frequency of a wave indicate about its energy?

A higher frequency of a wave indicates that its energy is greater due to the direct relationship between frequency and energy in wave phenomena. This relationship is articulated by the formula (E = hf), where (E) is energy, (h) is Planck's constant, and (f) is frequency. As frequency increases, the energy carried by the wave also increases. This principle applies across different types of waves, including electromagnetic waves, such as light. Therefore, when we observe a wave with a higher frequency, we can conclude that it possesses higher energy compared to waves with lower frequencies. This understanding is essential when studying various applications of waves, including sound and light, in fields such as physics and engineering.