Waves – Energy, Frequency, and Wavelength

If you went sailing in a boat on the ocean, you would notice that the water was constantly rising and falling in height, making waves. If the weather was calm, you would see smooth, calm, low energy waves. If the weather was stormy, the waves would have been pumped up by the storm into a state of higher energy. You might observe that they were stronger, rose and fell higher (higher amplitude), and that successive waves hit the boat faster and faster (the frequency had increased).

Sketch of huge ocean waves rising and falling in a clear pattern; a small brightly colored boat is poised atop one of the wave peaks. The distance between two neighboring peaks is labeled with the Greek letter lambda (for wavelength); the height of the peaks is labeled wave amplitude; an arrow labeled velocity, v, points horizontally to indicate the direction of motion. A note reads v = f = frequency, the number of times the boat crests (reaches the top of a wave) per unit time.
[NMSU, N. Vogt]

What do waves have to do with light?