Waves and Optics
The Wave Equation
To explain the relationship between wave speed, frequency and wavelength and use the wave equation.

What you will learn

What the wave speed equation means

How speed, frequency and wavelength are related

How to calculate wave speed using v = fλ

How to rearrange the equation

Why wavelength changes when speed changes at fixed frequency
Explanation
Wave speed, frequency and wavelength are linked by v = fλ. Use speed in m/s, frequency in Hz and wavelength in metres. At a fixed wave speed, a higher frequency means a shorter wavelength; convert centimetres or millimetres before substitution. Example: A wave has frequency 12 Hz and wavelength 15 cm. Calculate its speed. λ = 15 cm = 0.15 m; v = fλ = 12 × 0.15 = 1.8 m/s. Rearrange the relationship before substituting if a different quantity is required. Use clear labels. Consider the conditions.
