Waves Study Guide

Waves are disturbances that transfer energy from one point to another without transferring matter. Key characteristics used to describe waves include frequency and wavelength. Wavelength is the shortest distance over which a wave's shape repeats, often measured from crest to crest or trough to trough for transverse waves, or from compression to compression for longitudinal waves. It is typically denoted by the Greek letter lambda (λ) and measured in metres (m). Frequency, on the other hand, is the number of complete oscillations or cycles a wave completes in one second. It is denoted by 'f' and measured in Hertz (Hz), where 1 Hz means one cycle per second. These two properties are inversely related; a higher frequency corresponds to a shorter wavelength, assuming a constant wave speed. This relationship is fundamental to understanding wave behaviour across various phenomena, from sound to light.

Waves are disturbances that transfer energy without transferring matter. Their movement and characteristics can be described using specific mathematical relationships. Two fundamental equations are used to calculate wave speed. The first relates wave speed (v) to its frequency (f) and wavelength (λ): v = f × λ. Frequency is how many waves pass a point per second, measured in hertz (Hz), and wavelength is the distance between two consecutive corresponding points on a wave, measured in metres (m). The second equation defines wave speed in terms of the distance (x) a wave travels over a given time (t): v = x ÷ t. Both equations express wave speed in metres per second (m/s). These relationships are crucial for understanding and analysing all types of waves, from sound waves to electromagnetic waves.