* Energy and Amplitude: The energy carried by a wave is directly proportional to the square of its amplitude. This means if you double the amplitude, you increase the energy by a factor of 2².
* Mathematical Relationship:
* Energy (E) is proportional to Amplitude² (A²)
* If A becomes 2A, then E becomes (2A)² = 4A²
In simpler terms: Imagine a wave as a ripple on a pond. A bigger ripple (larger amplitude) carries more energy and can displace more water than a smaller ripple. Doubling the size of the ripple makes it four times more powerful.
