The higher the amplitude of a wave, the __________ the energy

Higher

The higher the amplitude of a wave, the greater the energy.

The higher the amplitude of a wave, the greater the energy. This is because amplitude is a measure of the maximum displacement or height of a wave from its rest position. In other words, it represents the magnitude or strength of the wave. The greater the amplitude, the more energy the wave carries.

To understand why this is the case, we can consider a simple example of a water wave. Imagine throwing two stones into a pond, one with a small amplitude and the other with a large amplitude. The stone that creates a wave with a larger amplitude will cause the water to move up and down to a greater extent. This requires more energy as compared to the stone that creates a wave with a smaller amplitude, where the water moves up and down to a lesser extent.

In a similar manner, in other types of waves such as sound waves or electromagnetic waves, higher amplitudes correspond to greater energy levels. To find information about the relationship between wave amplitude and energy, you can refer to scientific sources, textbooks, or online educational resources that discuss wave properties and their energy relationships.