Wave Mechanics

Wave mechanics studies the behavior of waves, which are disturbances that transfer energy through a medium or space.

Wave Properties

Waves are characterized by wavelength (\(\lambda\)), frequency (\(f\)), amplitude, and speed (\(v\)).

Example: A wave with \(\lambda = 2 \, \text{m}\) and \(f = 5 \, \text{Hz}\).

The speed of a wave is the product of its frequency and wavelength:

\[ v = f \lambda \]

Example: For \(\lambda = 2 \, \text{m}\), \(f = 5 \, \text{Hz}\):

\[ v = 5 \times 2 = 10 \, \text{m/s} \]

Waves are fundamental to sound engineering (e.g., acoustics), seismology (e.g., earthquake analysis), and telecommunications (e.g., radio waves).