How does amplitude relate to the energy produced by a wave?

The relationship between amplitude and energy in a wave is fundamentally based on the physics of wave motion. Amplitude refers to the maximum displacement of points on a wave from its rest position. In mechanical waves, such as sound waves or ocean waves, the energy carried by the wave is directly proportional to the square of its amplitude.

This means that when the amplitude of a wave increases, the amount of energy it conveys also increases. For example, in sound waves, a louder sound corresponds to a higher amplitude of the pressure variations in the air. Similarly, in water waves, larger waves (with higher amplitude) will carry more energy, impacting objects more forcefully.

Therefore, the correct assertion is that higher amplitude results in more energy produced, highlighting the vital role amplitude plays in determining the energy characteristics of a wave.