the higher the amplitude of a wave the____ the energy

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

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

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

To understand why the energy of a wave is directly proportional to its amplitude, we need to know a few things about waves. Amplitude refers to the maximum displacement of particles in a medium from their resting position when a wave passes through. It is a measure of the intensity or strength of the wave.

The energy of a wave is directly related to its amplitude because amplitude determines the amount of energy carried by the wave. When a wave travels through a medium, it causes the particles of the medium to vibrate back and forth. This vibration transfers energy from one particle to another, and the amplitude of the wave determines the maximum displacement of the particles.

Think of it like this: if you've ever played with a slinky toy or observed a wave in a body of water, you'll notice that a larger wave (with higher amplitude) carries more energy and has a greater impact compared to a smaller wave (with lower amplitude). The same principle applies to any type of wave, whether it's sound, light, or water.

So, in summary, the higher the amplitude of a wave, the greater the energy because a larger amplitude means a larger displacement of particles and a more significant transfer of energy.